TSTP Solution File: GRP632+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP632+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:10:03 EDT 2024
% Result : Theorem 3.16s 0.78s
% Output : Refutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 149
% Syntax : Number of formulae : 970 ( 126 unt; 0 def)
% Number of atoms : 3055 ( 242 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 3476 (1391 ~;1650 |; 302 &)
% ( 63 <=>; 70 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 87 ( 85 usr; 59 prp; 0-4 aty)
% Number of functors : 39 ( 39 usr; 16 con; 0-6 aty)
% Number of variables : 1457 (1397 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6778,plain,
$false,
inference(avatar_sat_refutation,[],[f462,f539,f648,f950,f967,f982,f993,f1018,f1051,f1104,f1161,f1181,f1207,f1218,f1231,f1256,f1268,f1278,f1288,f1297,f1308,f1319,f1350,f1377,f1392,f1410,f1421,f1433,f1849,f3246,f3252,f3269,f3289,f3299,f3343,f6610,f6679,f6776]) ).
fof(f6776,plain,
( spl26_5
| ~ spl26_6
| ~ spl26_7
| spl26_31 ),
inference(avatar_contradiction_clause,[],[f6775]) ).
fof(f6775,plain,
( $false
| spl26_5
| ~ spl26_6
| ~ spl26_7
| spl26_31 ),
inference(subsumption_resolution,[],[f6774,f1283]) ).
fof(f1283,plain,
( sK2 != k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK2,k6_partfun1(u1_struct_0(sK1)))
| spl26_31 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f1281,plain,
( spl26_31
<=> sK2 = k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK2,k6_partfun1(u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_31])]) ).
fof(f6774,plain,
( sK2 = k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK2,k6_partfun1(u1_struct_0(sK1)))
| spl26_5
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f6773,f4639]) ).
fof(f4639,plain,
( sK2 = k5_relat_1(sK2,k6_partfun1(u1_struct_0(sK1)))
| spl26_5
| ~ spl26_6 ),
inference(superposition,[],[f4631,f987]) ).
fof(f987,plain,
( sK2 = k7_relset_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK2,k6_partfun1(u1_struct_0(sK1)))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f970,f328]) ).
fof(f328,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
& k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
& k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_2) ).
fof(f970,plain,
( m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| spl26_5
| ~ spl26_6 ),
inference(global_subsumption,[],[f227,f231,f234,f233,f254,f288,f290,f294,f293,f296,f376,f299,f298,f301,f300,f340,f343,f342,f341,f344,f345,f221,f222,f223,f224,f225,f228,f346,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f368,f369,f370,f372,f373,f375,f229,f232,f263,f269,f270,f275,f242,f248,f377,f378,f261,f309,f310,f312,f313,f230,f381,f382,f238,f239,f243,f249,f384,f385,f262,f391,f386,f267,f268,f272,f279,f305,f306,f307,f308,f311,f314,f315,f395,f316,f396,f226,f240,f397,f241,f398,f250,f252,f302,f303,f281,f408,f410,f295,f329,f411,f412,f413,f337,f414,f338,f415,f399,f417,f400,f418,f255,f339,f422,f424,f427,f251,f429,f426,f437,f438,f439,f432,f443,f448,f447,f451,f444,f326,f466,f468,f469,f464,f471,f472,f476,f423,f480,f425,f433,f336,f246,f513,f514,f515,f516,f507,f503,f519,f521,f522,f523,f509,f244,f525,f409,f420,f421,f517,f551,f552,f553,f547,f556,f524,f555,f560,f561,f564,f565,f566,f568,f569,f574,f575,f576,f245,f581,f579,f563,f430,f431,f465,f589,f586,f587,f590,f592,f593,f597,f596,f297,f591,f598,f599,f600,f601,f602,f603,f467,f588,f604,f605,f607,f611,f613,f614,f618,f609,f619,f621,f622,f330,f610,f628,f630,f631,f617,f625,f634,f627,f638,f612,f649,f650,f651,f652,f653,f620,f655,f656,f657,f658,f659,f321,f629,f661,f662,f663,f664,f665,f654,f660,f666,f549,f550,f484,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f594,f595,f327,f691,f692,f693,f492,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f577,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f615,f616,f623,f624,f632,f633,f328,f736,f737,f738,f739,f419,f504,f747,f744,f751,f752,f753,f756,f755,f757,f745,f749,f750,f762,f764,f333,f760,f766,f767,f761,f768,f769,f506,f771,f772,f582,f774,f690,f743,f746,f783,f776,f334,f777,f787,f796,f797,f801,f795,f802,f803,f807,f799,f808,f811,f805,f812,f814,f815,f779,f781,f782,f785,f786,f793,f335,f794,f819,f833,f823,f835,f827,f837,f790,f838,f841,f840,f331,f846,f839,f848,f830,f817,f849,f850,f818,f851,f852,f821,f853,f854,f822,f855,f856,f825,f857,f858,f826,f859,f860,f831,f864,f865,f866,f869,f773,f871,f332,f877,f876,f872,f881,f878,f879,f868,f887,f888,f890,f891,f896,f900,f904,f908,f889,f892,f885,f901,f763,f911,f912,f897,f905,f909,f758,f800,f806,f832,f916,f917,f834,f920,f921,f836,f924,f925,f914,f809,f810,f915,f936,f937,f934,f935,f938,f813,f919,f923,f927,f845,f940,f253,f942,f943,f944,f642,f765,f968,f842,f969,f873]) ).
fof(f873,plain,
( m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_fraenkel(k4_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(resolution,[],[f332,f226]) ).
fof(f969,plain,
( v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| spl26_5
| ~ spl26_6 ),
inference(global_subsumption,[],[f227,f231,f234,f233,f254,f288,f290,f294,f293,f296,f376,f299,f298,f301,f300,f340,f343,f342,f341,f344,f345,f221,f222,f223,f224,f225,f228,f346,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f368,f369,f370,f372,f373,f375,f229,f232,f263,f269,f270,f275,f242,f248,f377,f378,f261,f309,f310,f312,f313,f230,f381,f382,f238,f239,f243,f249,f384,f385,f262,f391,f386,f267,f268,f272,f279,f305,f306,f307,f308,f311,f314,f315,f395,f316,f396,f226,f240,f397,f241,f398,f250,f252,f302,f303,f281,f408,f410,f295,f329,f411,f412,f413,f337,f414,f338,f415,f399,f417,f400,f418,f255,f339,f422,f424,f427,f251,f429,f426,f437,f438,f439,f432,f443,f448,f447,f451,f444,f326,f466,f468,f469,f464,f471,f472,f476,f423,f480,f425,f433,f336,f246,f513,f514,f515,f516,f507,f503,f519,f521,f522,f523,f509,f244,f525,f409,f420,f421,f517,f551,f552,f553,f547,f556,f524,f555,f560,f561,f564,f565,f566,f568,f569,f574,f575,f576,f245,f581,f579,f563,f430,f431,f465,f589,f586,f587,f590,f592,f593,f597,f596,f297,f591,f598,f599,f600,f601,f602,f603,f467,f588,f604,f605,f607,f611,f613,f614,f618,f609,f619,f621,f622,f330,f610,f628,f630,f631,f617,f625,f634,f627,f638,f612,f649,f650,f651,f652,f653,f620,f655,f656,f657,f658,f659,f321,f629,f661,f662,f663,f664,f665,f654,f660,f666,f549,f550,f484,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f594,f595,f327,f691,f692,f693,f492,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f577,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f615,f616,f623,f624,f632,f633,f328,f736,f737,f738,f739,f419,f504,f747,f744,f751,f752,f753,f756,f755,f757,f745,f749,f750,f762,f764,f333,f760,f766,f767,f761,f768,f769,f506,f771,f772,f582,f774,f690,f743,f746,f783,f776,f334,f777,f787,f796,f797,f801,f795,f802,f803,f807,f799,f808,f811,f805,f812,f814,f815,f779,f781,f782,f785,f786,f793,f335,f794,f819,f833,f823,f835,f827,f837,f790,f838,f841,f840,f331,f846,f839,f848,f830,f817,f849,f850,f818,f851,f852,f821,f853,f854,f822,f855,f856,f825,f857,f858,f826,f859,f860,f831,f864,f865,f866,f869,f773,f871,f332,f877,f876,f872,f881,f878,f879,f868,f887,f888,f890,f891,f896,f900,f904,f908,f889,f892,f885,f901,f763,f911,f912,f897,f905,f909,f758,f800,f806,f832,f916,f917,f834,f920,f921,f836,f924,f925,f914,f809,f810,f915,f936,f937,f934,f935,f938,f813,f919,f923,f927,f845,f940,f253,f942,f943,f944,f873,f642,f765,f968,f842]) ).
fof(f842,plain,
( v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_fraenkel(k4_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(resolution,[],[f331,f226]) ).
fof(f968,plain,
( m1_subset_1(sK2,k4_autgroup(sK1))
| spl26_5
| ~ spl26_6 ),
inference(global_subsumption,[],[f227,f231,f234,f233,f254,f288,f290,f294,f293,f296,f376,f299,f298,f301,f300,f340,f343,f342,f341,f344,f345,f221,f222,f223,f224,f225,f228,f346,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f368,f369,f370,f372,f373,f375,f229,f232,f263,f269,f270,f275,f242,f248,f377,f378,f261,f309,f310,f312,f313,f230,f381,f382,f238,f239,f243,f249,f384,f385,f262,f391,f386,f267,f268,f272,f279,f305,f306,f307,f308,f311,f314,f315,f395,f316,f396,f226,f240,f397,f241,f398,f250,f252,f302,f303,f281,f408,f410,f295,f329,f411,f412,f413,f337,f414,f338,f415,f399,f417,f400,f418,f255,f339,f422,f424,f427,f251,f429,f426,f437,f438,f439,f432,f443,f448,f447,f451,f444,f326,f466,f468,f469,f464,f471,f472,f476,f423,f480,f425,f433,f336,f246,f513,f514,f515,f516,f507,f503,f519,f521,f522,f523,f509,f244,f525,f409,f420,f421,f517,f551,f552,f553,f547,f556,f524,f555,f560,f561,f564,f565,f566,f568,f569,f574,f575,f576,f245,f581,f579,f563,f430,f431,f465,f589,f586,f587,f590,f592,f593,f597,f596,f297,f591,f598,f599,f600,f601,f602,f603,f467,f588,f604,f605,f607,f611,f613,f614,f618,f609,f619,f621,f622,f330,f610,f628,f630,f631,f617,f625,f634,f627,f638,f612,f649,f650,f651,f652,f653,f620,f655,f656,f657,f658,f659,f321,f629,f661,f662,f663,f664,f665,f654,f660,f666,f549,f550,f484,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f594,f595,f327,f691,f692,f693,f492,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f577,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f615,f616,f623,f624,f632,f633,f328,f736,f737,f738,f739,f419,f504,f747,f744,f751,f752,f753,f756,f755,f757,f745,f749,f750,f762,f764,f333,f760,f766,f767,f761,f768,f769,f506,f771,f772,f582,f774,f690,f743,f746,f783,f776,f334,f777,f787,f796,f797,f801,f795,f802,f803,f807,f799,f808,f811,f805,f812,f814,f815,f779,f781,f782,f785,f786,f793,f335,f794,f819,f833,f823,f835,f827,f837,f790,f838,f841,f840,f331,f846,f839,f848,f830,f817,f849,f850,f818,f851,f852,f821,f853,f854,f822,f855,f856,f825,f857,f858,f826,f859,f860,f831,f864,f865,f866,f869,f773,f871,f332,f877,f876,f872,f881,f878,f879,f868,f887,f888,f890,f891,f896,f900,f904,f908,f889,f892,f885,f901,f763,f911,f912,f897,f905,f909,f758,f800,f806,f832,f916,f917,f834,f920,f921,f836,f924,f925,f914,f809,f810,f915,f936,f937,f934,f935,f938,f813,f919,f923,f927,f845,f940,f253,f942,f943,f944,f873,f842,f642,f765]) ).
fof(f765,plain,
( m1_subset_1(sK2,k4_autgroup(sK1))
| ~ m1_fraenkel(k4_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(resolution,[],[f333,f226]) ).
fof(f642,plain,
( m1_fraenkel(k4_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f641,plain,
( spl26_6
<=> m1_fraenkel(k4_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f944,plain,
! [X0] :
( ~ v1_xboole_0(k4_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f253,f315]) ).
fof(f943,plain,
! [X0] :
( v1_fraenkel(k4_autgroup(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f253,f316]) ).
fof(f942,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k4_autgroup(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_funct_1(X1) ),
inference(resolution,[],[f253,f790]) ).
fof(f253,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f940,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(sK12(X1,X2,X0))
| ~ m1_relset_1(sK12(X1,X2,X0),X1,X2)
| v1_xboole_0(X1) ),
inference(duplicate_literal_removal,[],[f939]) ).
fof(f939,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(sK12(X1,X2,X0))
| ~ m1_relset_1(sK12(X1,X2,X0),X1,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ),
inference(resolution,[],[f845,f915]) ).
fof(f845,plain,
! [X2,X0,X1] :
( v1_funct_2(sK12(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(duplicate_literal_removal,[],[f844]) ).
fof(f844,plain,
! [X2,X0,X1] :
( v1_funct_2(sK12(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(resolution,[],[f331,f335]) ).
fof(f927,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X0,X1),sK4(sK11(X0,X1)))
| v1_xboole_0(sK11(X0,X1)) ),
inference(resolution,[],[f836,f279]) ).
fof(f923,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X0,X1),sK4(sK10(X0,X1)))
| v1_xboole_0(sK10(X0,X1)) ),
inference(resolution,[],[f834,f279]) ).
fof(f919,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X0,X1),sK4(sK8(X0,X1)))
| v1_xboole_0(sK8(X0,X1)) ),
inference(resolution,[],[f832,f279]) ).
fof(f813,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X1,X1),sK6(X0))
| ~ r2_hidden(k2_zfmisc_1(X0,X0),sK6(X1)) ),
inference(resolution,[],[f805,f795]) ).
fof(f938,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(resolution,[],[f935,f628]) ).
fof(f935,plain,
! [X0,X1] :
( ~ v1_xboole_0(sK11(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f929,f311]) ).
fof(f929,plain,
! [X0,X1] :
( ~ v1_xboole_0(sK11(X0,X1))
| ~ m1_relset_1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(resolution,[],[f915,f314]) ).
fof(f934,plain,
! [X0] :
( ~ v1_xboole_0(sK6(X0))
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f933,f268]) ).
fof(f933,plain,
! [X0] :
( ~ v1_xboole_0(sK6(X0))
| ~ m1_relset_1(sK6(X0),X0,X0)
| v1_xboole_0(X0) ),
inference(duplicate_literal_removal,[],[f928]) ).
fof(f928,plain,
! [X0] :
( ~ v1_xboole_0(sK6(X0))
| ~ m1_relset_1(sK6(X0),X0,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f915,f272]) ).
fof(f937,plain,
! [X2,X0,X1] :
( ~ v1_partfun1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f932,f248]) ).
fof(f932,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_partfun1(X0,X1,X2)
| ~ v1_funct_1(X0) ),
inference(duplicate_literal_removal,[],[f931]) ).
fof(f931,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ m1_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_partfun1(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(resolution,[],[f915,f321]) ).
fof(f936,plain,
! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) ),
inference(subsumption_resolution,[],[f930,f582]) ).
fof(f930,plain,
! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) ),
inference(resolution,[],[f915,f244]) ).
fof(f915,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| ~ v1_xboole_0(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f290,f248]) ).
fof(f810,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X1,X1),sK5(X0))
| ~ r2_hidden(k2_zfmisc_1(X0,X0),sK5(X1)) ),
inference(resolution,[],[f799,f787]) ).
fof(f809,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X1,X1),sK6(X0))
| ~ r2_hidden(k2_zfmisc_1(X0,X0),sK5(X1)) ),
inference(resolution,[],[f799,f795]) ).
fof(f914,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X0,X1),sK4(sK9(X0,X1)))
| v1_xboole_0(sK9(X0,X1)) ),
inference(resolution,[],[f763,f279]) ).
fof(f925,plain,
! [X0,X1] :
( v1_xboole_0(sK11(X0,X1))
| v1_funct_1(sK4(sK11(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f836,f521]) ).
fof(f924,plain,
! [X0,X1] :
( v1_xboole_0(sK11(X0,X1))
| v1_relat_1(sK4(sK11(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f836,f522]) ).
fof(f836,plain,
! [X0,X1] :
( r2_hidden(sK4(sK11(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) ),
inference(resolution,[],[f827,f408]) ).
fof(f921,plain,
! [X0,X1] :
( v1_xboole_0(sK10(X0,X1))
| v1_funct_1(sK4(sK10(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f834,f521]) ).
fof(f920,plain,
! [X0,X1] :
( v1_xboole_0(sK10(X0,X1))
| v1_relat_1(sK4(sK10(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f834,f522]) ).
fof(f834,plain,
! [X0,X1] :
( r2_hidden(sK4(sK10(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) ),
inference(resolution,[],[f823,f408]) ).
fof(f917,plain,
! [X0,X1] :
( v1_xboole_0(sK8(X0,X1))
| v1_funct_1(sK4(sK8(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f832,f521]) ).
fof(f916,plain,
! [X0,X1] :
( v1_xboole_0(sK8(X0,X1))
| v1_relat_1(sK4(sK8(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f832,f522]) ).
fof(f832,plain,
! [X0,X1] :
( r2_hidden(sK4(sK8(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK8(X0,X1)) ),
inference(resolution,[],[f819,f408]) ).
fof(f806,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X1,X1),k6_partfun1(X0))
| ~ r2_hidden(k2_zfmisc_1(X0,X0),sK6(X1)) ),
inference(resolution,[],[f795,f755]) ).
fof(f800,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X1,X1),k6_partfun1(X0))
| ~ r2_hidden(k2_zfmisc_1(X0,X0),sK5(X1)) ),
inference(resolution,[],[f787,f755]) ).
fof(f758,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X1,X1),k6_partfun1(X0))
| ~ r2_hidden(k2_zfmisc_1(X0,X0),k6_partfun1(X1)) ),
inference(resolution,[],[f755,f751]) ).
fof(f909,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(sK11(X0,X1),X2,X3)
| v1_xboole_0(X3)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f868,f610]) ).
fof(f905,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(sK10(X0,X1),X2,X3)
| v1_xboole_0(X3)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f868,f609]) ).
fof(f897,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(sK8(X0,X1),X2,X3)
| v1_xboole_0(X3)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f868,f607]) ).
fof(f912,plain,
! [X0,X1] :
( v1_xboole_0(sK9(X0,X1))
| v1_funct_1(sK4(sK9(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f763,f521]) ).
fof(f911,plain,
! [X0,X1] :
( v1_xboole_0(sK9(X0,X1))
| v1_relat_1(sK4(sK9(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f763,f522]) ).
fof(f763,plain,
! [X0,X1] :
( r2_hidden(sK4(sK9(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) ),
inference(resolution,[],[f762,f408]) ).
fof(f901,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(sK9(X0,X1),X2,X3)
| v1_xboole_0(X3)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f868,f587]) ).
fof(f885,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK12(X1,X2,X0))
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2) ),
inference(resolution,[],[f868,f279]) ).
fof(f892,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(sK4(k1_zfmisc_1(X0)),X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f868,f422]) ).
fof(f889,plain,
! [X0,X1] :
( ~ m1_fraenkel(k1_xboole_0,X0,X1)
| v1_xboole_0(X1) ),
inference(resolution,[],[f868,f448]) ).
fof(f908,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(sK11(X0,X1),X2,X3)
| v1_xboole_0(X3)
| r2_hidden(sK12(X2,X3,sK11(X0,X1)),k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f868,f827]) ).
fof(f904,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(sK10(X0,X1),X2,X3)
| v1_xboole_0(X3)
| r2_hidden(sK12(X2,X3,sK10(X0,X1)),k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f868,f823]) ).
fof(f900,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(sK9(X0,X1),X2,X3)
| v1_xboole_0(X3)
| r2_hidden(sK12(X2,X3,sK9(X0,X1)),k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f868,f762]) ).
fof(f896,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(sK8(X0,X1),X2,X3)
| v1_xboole_0(X3)
| r2_hidden(sK12(X2,X3,sK8(X0,X1)),k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f868,f819]) ).
fof(f891,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(sK4(k1_zfmisc_1(X0)),X1,X2)
| v1_xboole_0(X2)
| m1_subset_1(sK12(X1,X2,sK4(k1_zfmisc_1(X0))),X0) ),
inference(resolution,[],[f868,f507]) ).
fof(f890,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(sK3(X0),X1,X2)
| v1_xboole_0(X2)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(X1,X2,sK3(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f868,f773]) ).
fof(f888,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(k1_zfmisc_1(X0),X1,X2)
| v1_xboole_0(X2)
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X3,sK12(X1,X2,k1_zfmisc_1(X0))) ),
inference(resolution,[],[f868,f525]) ).
fof(f887,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(k1_zfmisc_1(X0),X1,X2)
| v1_xboole_0(X2)
| m1_subset_1(X3,X0)
| ~ r2_hidden(X3,sK12(X1,X2,k1_zfmisc_1(X0))) ),
inference(resolution,[],[f868,f524]) ).
fof(f868,plain,
! [X2,X0,X1] :
( r2_hidden(sK12(X2,X0,X1),X1)
| ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f861,f315]) ).
fof(f861,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X1)
| r2_hidden(sK12(X2,X0,X1),X1) ),
inference(resolution,[],[f831,f281]) ).
fof(f879,plain,
! [X0] :
( v1_funct_1(sK4(sK3(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_fraenkel(u1_struct_0(X0)) ),
inference(resolution,[],[f872,f521]) ).
fof(f878,plain,
! [X0] :
( v1_relat_1(sK4(sK3(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_fraenkel(u1_struct_0(X0)) ),
inference(resolution,[],[f872,f522]) ).
fof(f881,plain,
! [X0] :
( ~ r2_hidden(u1_struct_0(X0),sK4(sK3(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f872,f279]) ).
fof(f872,plain,
! [X0] :
( r2_hidden(sK4(sK3(X0)),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(subsumption_resolution,[],[f870,f252]) ).
fof(f870,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r2_hidden(sK4(sK3(X0)),u1_struct_0(X0))
| v1_xboole_0(sK3(X0)) ),
inference(resolution,[],[f773,f408]) ).
fof(f876,plain,
! [X2,X0,X1] :
( m2_relset_1(sK12(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(duplicate_literal_removal,[],[f875]) ).
fof(f875,plain,
! [X2,X0,X1] :
( m2_relset_1(sK12(X0,X1,X2),X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(resolution,[],[f332,f335]) ).
fof(f877,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X3,X1,X2)
| m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) ),
inference(duplicate_literal_removal,[],[f874]) ).
fof(f874,plain,
! [X2,X3,X0,X1] :
( m2_relset_1(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2) ),
inference(resolution,[],[f332,f334]) ).
fof(f332,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m2_relset_1(X3,X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f871,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r2_hidden(sK4(sK4(k1_zfmisc_1(sK3(X0)))),u1_struct_0(X0))
| v1_xboole_0(sK4(k1_zfmisc_1(sK3(X0)))) ),
inference(resolution,[],[f773,f555]) ).
fof(f773,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK3(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| r2_hidden(X0,u1_struct_0(X1)) ),
inference(subsumption_resolution,[],[f770,f250]) ).
fof(f770,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK3(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(X0,u1_struct_0(X1)) ),
inference(resolution,[],[f506,f281]) ).
fof(f869,plain,
! [X2,X0,X1] :
( v1_relat_1(sK12(X2,X0,X1))
| ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f863,f316]) ).
fof(f863,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(X1,X2,X0)
| v1_relat_1(sK12(X2,X0,X1))
| ~ v1_fraenkel(X1) ),
inference(resolution,[],[f831,f240]) ).
fof(f866,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,sK12(X2,X0,k1_zfmisc_1(X1)))
| ~ m1_fraenkel(k1_zfmisc_1(X1),X2,X0)
| ~ v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(resolution,[],[f831,f339]) ).
fof(f865,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,sK12(X2,X0,k1_zfmisc_1(X1)))
| ~ m1_fraenkel(k1_zfmisc_1(X1),X2,X0)
| m1_subset_1(X3,X1)
| v1_xboole_0(X0) ),
inference(resolution,[],[f831,f336]) ).
fof(f864,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_fraenkel(k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X3,X0)
| v1_relat_1(sK12(X3,X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(resolution,[],[f831,f329]) ).
fof(f831,plain,
! [X2,X0,X1] :
( m1_subset_1(sK12(X1,X2,X0),X0)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f828]) ).
fof(f828,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| m1_subset_1(sK12(X1,X2,X0),X0)
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) ),
inference(resolution,[],[f335,f333]) ).
fof(f860,plain,
! [X0,X1] :
( v1_relat_1(sK4(sK4(k1_zfmisc_1(sK11(X0,X1)))))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK4(k1_zfmisc_1(sK11(X0,X1)))) ),
inference(resolution,[],[f826,f555]) ).
fof(f859,plain,
! [X0,X1] :
( v1_relat_1(sK4(sK11(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) ),
inference(resolution,[],[f826,f408]) ).
fof(f826,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| v1_relat_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f782,f240]) ).
fof(f858,plain,
! [X0,X1] :
( v1_funct_1(sK4(sK4(k1_zfmisc_1(sK11(X0,X1)))))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK4(k1_zfmisc_1(sK11(X0,X1)))) ),
inference(resolution,[],[f825,f555]) ).
fof(f857,plain,
! [X0,X1] :
( v1_funct_1(sK4(sK11(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK11(X0,X1)) ),
inference(resolution,[],[f825,f408]) ).
fof(f825,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| v1_funct_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f782,f241]) ).
fof(f856,plain,
! [X0,X1] :
( v1_relat_1(sK4(sK4(k1_zfmisc_1(sK10(X0,X1)))))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK4(k1_zfmisc_1(sK10(X0,X1)))) ),
inference(resolution,[],[f822,f555]) ).
fof(f855,plain,
! [X0,X1] :
( v1_relat_1(sK4(sK10(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) ),
inference(resolution,[],[f822,f408]) ).
fof(f822,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| v1_relat_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f781,f240]) ).
fof(f854,plain,
! [X0,X1] :
( v1_funct_1(sK4(sK4(k1_zfmisc_1(sK10(X0,X1)))))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK4(k1_zfmisc_1(sK10(X0,X1)))) ),
inference(resolution,[],[f821,f555]) ).
fof(f853,plain,
! [X0,X1] :
( v1_funct_1(sK4(sK10(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) ),
inference(resolution,[],[f821,f408]) ).
fof(f821,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| v1_funct_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f781,f241]) ).
fof(f852,plain,
! [X0,X1] :
( v1_relat_1(sK4(sK4(k1_zfmisc_1(sK8(X0,X1)))))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK4(k1_zfmisc_1(sK8(X0,X1)))) ),
inference(resolution,[],[f818,f555]) ).
fof(f851,plain,
! [X0,X1] :
( v1_relat_1(sK4(sK8(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK8(X0,X1)) ),
inference(resolution,[],[f818,f408]) ).
fof(f818,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK8(X1,X2))
| v1_relat_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f779,f240]) ).
fof(f850,plain,
! [X0,X1] :
( v1_funct_1(sK4(sK4(k1_zfmisc_1(sK8(X0,X1)))))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK4(k1_zfmisc_1(sK8(X0,X1)))) ),
inference(resolution,[],[f817,f555]) ).
fof(f849,plain,
! [X0,X1] :
( v1_funct_1(sK4(sK8(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK8(X0,X1)) ),
inference(resolution,[],[f817,f408]) ).
fof(f817,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK8(X1,X2))
| v1_funct_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f779,f241]) ).
fof(f830,plain,
! [X2,X0,X1] :
( v1_funct_1(sK12(X1,X2,X0))
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f829]) ).
fof(f829,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_funct_1(sK12(X1,X2,X0))
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) ),
inference(resolution,[],[f335,f330]) ).
fof(f848,plain,
! [X0,X1] :
( v1_funct_1(sK4(sK4(k1_zfmisc_1(sK7(X0,X1)))))
| v1_xboole_0(X1)
| v1_xboole_0(sK4(k1_zfmisc_1(sK7(X0,X1)))) ),
inference(resolution,[],[f839,f555]) ).
fof(f839,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,sK7(X2,X0))
| v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(resolution,[],[f838,f519]) ).
fof(f846,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X3,X1,X2)
| v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3) ),
inference(duplicate_literal_removal,[],[f843]) ).
fof(f843,plain,
! [X2,X3,X0,X1] :
( v1_funct_2(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X0,X3)
| ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2) ),
inference(resolution,[],[f331,f334]) ).
fof(f331,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_2(X3,X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f840,plain,
! [X0,X1] :
( v1_funct_1(sK4(sK7(X1,X0)))
| v1_xboole_0(X0) ),
inference(resolution,[],[f838,f261]) ).
fof(f841,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| v1_funct_1(sK4(sK4(k1_zfmisc_1(sK7(X1,X0)))))
| v1_xboole_0(sK4(k1_zfmisc_1(sK7(X1,X0)))) ),
inference(resolution,[],[f838,f517]) ).
fof(f838,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,sK7(X1,X2))
| v1_xboole_0(X2)
| v1_funct_1(X0) ),
inference(resolution,[],[f790,f305]) ).
fof(f790,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X1,X2,X3)
| ~ m1_subset_1(X0,X1)
| v1_xboole_0(X3)
| v1_funct_1(X0) ),
inference(duplicate_literal_removal,[],[f789]) ).
fof(f789,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_fraenkel(X1,X2,X3)
| v1_xboole_0(X3)
| v1_funct_1(X0)
| ~ m1_fraenkel(X1,X2,X3)
| v1_xboole_0(X3) ),
inference(resolution,[],[f334,f330]) ).
fof(f837,plain,
! [X0,X1] :
( r2_hidden(sK4(sK4(k1_zfmisc_1(sK11(X0,X1)))),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK4(k1_zfmisc_1(sK11(X0,X1)))) ),
inference(resolution,[],[f827,f555]) ).
fof(f827,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(subsumption_resolution,[],[f824,f610]) ).
fof(f824,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f782,f281]) ).
fof(f835,plain,
! [X0,X1] :
( r2_hidden(sK4(sK4(k1_zfmisc_1(sK10(X0,X1)))),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK4(k1_zfmisc_1(sK10(X0,X1)))) ),
inference(resolution,[],[f823,f555]) ).
fof(f823,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(subsumption_resolution,[],[f820,f609]) ).
fof(f820,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f781,f281]) ).
fof(f833,plain,
! [X0,X1] :
( r2_hidden(sK4(sK4(k1_zfmisc_1(sK8(X0,X1)))),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK4(k1_zfmisc_1(sK8(X0,X1)))) ),
inference(resolution,[],[f819,f555]) ).
fof(f819,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK8(X1,X2))
| r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(subsumption_resolution,[],[f816,f607]) ).
fof(f816,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK8(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f779,f281]) ).
fof(f794,plain,
! [X0,X1] :
( ~ v1_fraenkel(k2_zfmisc_1(X1,X1))
| v1_relat_1(X0)
| ~ r2_hidden(X0,sK6(X1)) ),
inference(resolution,[],[f777,f240]) ).
fof(f335,plain,
! [X2,X0,X1] :
( m2_fraenkel(sK12(X0,X1,X2),X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1,X2] :
( m2_fraenkel(sK12(X0,X1,X2),X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f155,f192]) ).
fof(f192,plain,
! [X0,X1,X2] :
( ? [X3] : m2_fraenkel(X3,X0,X1,X2)
=> m2_fraenkel(sK12(X0,X1,X2),X0,X1,X2) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ? [X3] : m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ? [X3] : m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ? [X3] : m2_fraenkel(X3,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_fraenkel) ).
fof(f793,plain,
! [X0,X1] :
( ~ v1_fraenkel(k2_zfmisc_1(X1,X1))
| v1_funct_1(X0)
| ~ r2_hidden(X0,sK6(X1)) ),
inference(resolution,[],[f777,f241]) ).
fof(f786,plain,
! [X0,X1] :
( ~ v1_fraenkel(k2_zfmisc_1(X1,X1))
| v1_relat_1(X0)
| ~ r2_hidden(X0,sK5(X1)) ),
inference(resolution,[],[f776,f240]) ).
fof(f785,plain,
! [X0,X1] :
( ~ v1_fraenkel(k2_zfmisc_1(X1,X1))
| v1_funct_1(X0)
| ~ r2_hidden(X0,sK5(X1)) ),
inference(resolution,[],[f776,f241]) ).
fof(f782,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,sK11(X1,X2)) ),
inference(resolution,[],[f746,f311]) ).
fof(f781,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,sK10(X1,X2)) ),
inference(resolution,[],[f746,f308]) ).
fof(f779,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,sK8(X1,X2)) ),
inference(resolution,[],[f746,f306]) ).
fof(f815,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X0,X0),sK6(X1))
| ~ r2_hidden(k2_zfmisc_1(X1,X1),k6_partfun1(X0)) ),
inference(resolution,[],[f805,f751]) ).
fof(f814,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X0,X0),sK6(X1))
| ~ r2_hidden(k2_zfmisc_1(X1,X1),sK5(X0)) ),
inference(resolution,[],[f805,f787]) ).
fof(f812,plain,
! [X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(X0),sK6(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k2_zfmisc_1(X1,X1),X0) ),
inference(resolution,[],[f805,f409]) ).
fof(f805,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X1,X1),X0)
| ~ r2_hidden(X0,sK6(X1)) ),
inference(resolution,[],[f795,f279]) ).
fof(f811,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X0,X0),sK5(X1))
| ~ r2_hidden(k2_zfmisc_1(X1,X1),k6_partfun1(X0)) ),
inference(resolution,[],[f799,f751]) ).
fof(f808,plain,
! [X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(X0),sK5(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k2_zfmisc_1(X1,X1),X0) ),
inference(resolution,[],[f799,f409]) ).
fof(f799,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X1,X1),X0)
| ~ r2_hidden(X0,sK5(X1)) ),
inference(resolution,[],[f787,f279]) ).
fof(f807,plain,
! [X0,X1] :
( ~ r1_tarski(k2_zfmisc_1(X1,X1),X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK6(X1))
| v1_xboole_0(k1_zfmisc_1(X0)) ),
inference(resolution,[],[f795,f547]) ).
fof(f803,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK6(X1))
| v1_funct_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(X1,X1)) ),
inference(resolution,[],[f795,f521]) ).
fof(f802,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK6(X1))
| v1_relat_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(X1,X1)) ),
inference(resolution,[],[f795,f522]) ).
fof(f795,plain,
! [X0,X1] :
( r2_hidden(X0,k2_zfmisc_1(X1,X1))
| ~ r2_hidden(X0,sK6(X1)) ),
inference(subsumption_resolution,[],[f792,f605]) ).
fof(f792,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK6(X1))
| v1_xboole_0(k2_zfmisc_1(X1,X1))
| r2_hidden(X0,k2_zfmisc_1(X1,X1)) ),
inference(resolution,[],[f777,f281]) ).
fof(f801,plain,
! [X0,X1] :
( ~ r1_tarski(k2_zfmisc_1(X1,X1),X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK5(X1))
| v1_xboole_0(k1_zfmisc_1(X0)) ),
inference(resolution,[],[f787,f547]) ).
fof(f797,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK5(X1))
| v1_funct_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(X1,X1)) ),
inference(resolution,[],[f787,f521]) ).
fof(f796,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK5(X1))
| v1_relat_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(X1,X1)) ),
inference(resolution,[],[f787,f522]) ).
fof(f787,plain,
! [X0,X1] :
( r2_hidden(X0,k2_zfmisc_1(X1,X1))
| ~ r2_hidden(X0,sK5(X1)) ),
inference(subsumption_resolution,[],[f784,f604]) ).
fof(f784,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK5(X1))
| v1_xboole_0(k2_zfmisc_1(X1,X1))
| r2_hidden(X0,k2_zfmisc_1(X1,X1)) ),
inference(resolution,[],[f776,f281]) ).
fof(f777,plain,
! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X1))
| ~ r2_hidden(X0,sK6(X1)) ),
inference(resolution,[],[f746,f268]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(nnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f776,plain,
! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X1))
| ~ r2_hidden(X0,sK5(X1)) ),
inference(resolution,[],[f746,f262]) ).
fof(f783,plain,
! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ r2_hidden(X0,u1_group_1(X1))
| ~ l1_group_1(X1) ),
inference(resolution,[],[f746,f582]) ).
fof(f746,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X1,X2,X3)
| m1_subset_1(X0,k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X0,X1) ),
inference(resolution,[],[f504,f338]) ).
fof(f743,plain,
! [X0] :
( ~ r2_hidden(u1_struct_0(X0),k2_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f419,f279]) ).
fof(f690,plain,
! [X0] : k6_partfun1(X0) = k7_relset_1(X0,X0,X0,X0,k6_partfun1(X0),k6_partfun1(X0)),
inference(resolution,[],[f327,f239]) ).
fof(f774,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ r2_hidden(X1,u1_group_1(X0))
| ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))) ),
inference(resolution,[],[f582,f588]) ).
fof(f582,plain,
! [X0] :
( m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(resolution,[],[f245,f337]) ).
fof(f772,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK3(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| v1_relat_1(X0)
| ~ v1_fraenkel(u1_struct_0(X1)) ),
inference(resolution,[],[f506,f240]) ).
fof(f771,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK3(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| v1_funct_1(X0)
| ~ v1_fraenkel(u1_struct_0(X1)) ),
inference(resolution,[],[f506,f241]) ).
fof(f506,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK3(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(resolution,[],[f336,f251]) ).
fof(f769,plain,
! [X0,X1] :
( v1_relat_1(sK4(sK4(k1_zfmisc_1(sK9(X0,X1)))))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK4(k1_zfmisc_1(sK9(X0,X1)))) ),
inference(resolution,[],[f761,f555]) ).
fof(f768,plain,
! [X0,X1] :
( v1_relat_1(sK4(sK9(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) ),
inference(resolution,[],[f761,f408]) ).
fof(f761,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| v1_relat_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f745,f240]) ).
fof(f767,plain,
! [X0,X1] :
( v1_funct_1(sK4(sK4(k1_zfmisc_1(sK9(X0,X1)))))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK4(k1_zfmisc_1(sK9(X0,X1)))) ),
inference(resolution,[],[f760,f555]) ).
fof(f766,plain,
! [X0,X1] :
( v1_funct_1(sK4(sK9(X0,X1)))
| ~ v1_fraenkel(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) ),
inference(resolution,[],[f760,f408]) ).
fof(f760,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| v1_funct_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f745,f241]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f764,plain,
! [X0,X1] :
( r2_hidden(sK4(sK4(k1_zfmisc_1(sK9(X0,X1)))),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK4(k1_zfmisc_1(sK9(X0,X1)))) ),
inference(resolution,[],[f762,f555]) ).
fof(f762,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(subsumption_resolution,[],[f759,f587]) ).
fof(f759,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f745,f281]) ).
fof(f750,plain,
! [X0,X1] :
( ~ v1_fraenkel(k2_zfmisc_1(X1,X1))
| v1_relat_1(X0)
| ~ r2_hidden(X0,k6_partfun1(X1)) ),
inference(resolution,[],[f744,f240]) ).
fof(f749,plain,
! [X0,X1] :
( ~ v1_fraenkel(k2_zfmisc_1(X1,X1))
| v1_funct_1(X0)
| ~ r2_hidden(X0,k6_partfun1(X1)) ),
inference(resolution,[],[f744,f241]) ).
fof(f745,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,sK9(X1,X2)) ),
inference(resolution,[],[f504,f307]) ).
fof(f757,plain,
! [X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(X0),k6_partfun1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k2_zfmisc_1(X1,X1),X0) ),
inference(resolution,[],[f755,f409]) ).
fof(f755,plain,
! [X0,X1] :
( ~ r2_hidden(k2_zfmisc_1(X1,X1),X0)
| ~ r2_hidden(X0,k6_partfun1(X1)) ),
inference(resolution,[],[f751,f279]) ).
fof(f756,plain,
! [X0,X1] :
( ~ r1_tarski(k2_zfmisc_1(X1,X1),X0)
| ~ r2_hidden(k1_zfmisc_1(X0),k6_partfun1(X1))
| v1_xboole_0(k1_zfmisc_1(X0)) ),
inference(resolution,[],[f751,f547]) ).
fof(f753,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k6_partfun1(X1))
| v1_funct_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(X1,X1)) ),
inference(resolution,[],[f751,f521]) ).
fof(f752,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k6_partfun1(X1))
| v1_relat_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(X1,X1)) ),
inference(resolution,[],[f751,f522]) ).
fof(f751,plain,
! [X0,X1] :
( r2_hidden(X0,k2_zfmisc_1(X1,X1))
| ~ r2_hidden(X0,k6_partfun1(X1)) ),
inference(subsumption_resolution,[],[f748,f586]) ).
fof(f748,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k6_partfun1(X1))
| v1_xboole_0(k2_zfmisc_1(X1,X1))
| r2_hidden(X0,k2_zfmisc_1(X1,X1)) ),
inference(resolution,[],[f744,f281]) ).
fof(f744,plain,
! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X1))
| ~ r2_hidden(X0,k6_partfun1(X1)) ),
inference(resolution,[],[f504,f239]) ).
fof(f747,plain,
! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ r2_hidden(X0,u1_group_1(X1))
| ~ l1_group_1(X1) ),
inference(resolution,[],[f504,f245]) ).
fof(f504,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f336,f326]) ).
fof(f419,plain,
! [X0] :
( r2_hidden(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(resolution,[],[f255,f281]) ).
fof(f739,plain,
! [X0] :
( ~ l1_group_1(X0)
| u1_group_1(X0) = k7_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_group_1(X0),k6_partfun1(u1_struct_0(X0))) ),
inference(resolution,[],[f328,f245]) ).
fof(f738,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2 ),
inference(resolution,[],[f328,f338]) ).
fof(f737,plain,
! [X0,X1] : sK9(X0,X1) = k7_relset_1(X0,X1,X1,X1,sK9(X0,X1),k6_partfun1(X1)),
inference(resolution,[],[f328,f307]) ).
fof(f736,plain,
! [X0] : k6_partfun1(X0) = k7_relset_1(X0,X0,X0,X0,k6_partfun1(X0),k6_partfun1(X0)),
inference(resolution,[],[f328,f239]) ).
fof(f633,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK11(X0,X1) = X2
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f628,f303]) ).
fof(f632,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK11(X0,X1))) ),
inference(resolution,[],[f628,f426]) ).
fof(f624,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK10(X0,X1) = X2
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f619,f303]) ).
fof(f623,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK10(X0,X1))) ),
inference(resolution,[],[f619,f426]) ).
fof(f616,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK8(X0,X1) = X2
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f611,f303]) ).
fof(f615,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK8(X0,X1))) ),
inference(resolution,[],[f611,f426]) ).
fof(f729,plain,
! [X2,X0,X1] :
( sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))) = sK11(X1,X2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f577,f628]) ).
fof(f728,plain,
! [X2,X0,X1] :
( sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))) = sK10(X1,X2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f577,f619]) ).
fof(f727,plain,
! [X2,X0,X1] :
( sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))) = sK9(X1,X2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f577,f590]) ).
fof(f726,plain,
! [X2,X0,X1] :
( sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))) = sK8(X1,X2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f577,f611]) ).
fof(f725,plain,
! [X2,X0,X1] :
( sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))) = sK4(k1_zfmisc_1(sK11(X1,X2)))
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f577,f629]) ).
fof(f724,plain,
! [X2,X0,X1] :
( sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))) = sK4(k1_zfmisc_1(sK10(X1,X2)))
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f577,f620]) ).
fof(f723,plain,
! [X2,X0,X1] :
( sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))) = sK4(k1_zfmisc_1(sK9(X1,X2)))
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f577,f591]) ).
fof(f722,plain,
! [X2,X0,X1] :
( sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))) = sK4(k1_zfmisc_1(sK8(X1,X2)))
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f577,f612]) ).
fof(f721,plain,
! [X0,X1] :
( sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))) = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X1))))
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1) ),
inference(resolution,[],[f577,f569]) ).
fof(f720,plain,
! [X0,X1] :
( sK4(k1_zfmisc_1(X1)) = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1) ),
inference(resolution,[],[f577,f424]) ).
fof(f577,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))) = X1
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f569,f303]) ).
fof(f704,plain,
! [X0,X1] :
( k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK11(X0,X1)))))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f492,f628]) ).
fof(f703,plain,
! [X0,X1] :
( k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK10(X0,X1)))))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f492,f619]) ).
fof(f702,plain,
! [X0,X1] :
( k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK9(X0,X1)))))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f492,f590]) ).
fof(f701,plain,
! [X0,X1] :
( k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK8(X0,X1)))))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f492,f611]) ).
fof(f700,plain,
! [X0,X1] :
( k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK11(X0,X1)))))))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f492,f629]) ).
fof(f699,plain,
! [X0,X1] :
( k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK10(X0,X1)))))))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f492,f620]) ).
fof(f698,plain,
! [X0,X1] :
( k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK9(X0,X1)))))))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f492,f591]) ).
fof(f697,plain,
! [X0,X1] :
( k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK8(X0,X1)))))))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f492,f612]) ).
fof(f696,plain,
! [X0] :
( k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0))))))))))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f492,f569]) ).
fof(f695,plain,
! [X0] :
( k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0))))))))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f492,f424]) ).
fof(f492,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))))) ),
inference(resolution,[],[f433,f424]) ).
fof(f693,plain,
! [X0] :
( ~ l1_group_1(X0)
| u1_group_1(X0) = k7_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),k6_partfun1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0))),u1_group_1(X0)) ),
inference(resolution,[],[f327,f245]) ).
fof(f692,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ),
inference(resolution,[],[f327,f338]) ).
fof(f691,plain,
! [X0,X1] : sK9(X0,X1) = k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),sK9(X0,X1)),
inference(resolution,[],[f327,f307]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ),
inference(cnf_transformation,[],[f148]) ).
fof(f595,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK9(X0,X1) = X2
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f590,f303]) ).
fof(f594,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK9(X0,X1))) ),
inference(resolution,[],[f590,f426]) ).
fof(f679,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| sK4(k1_zfmisc_1(X0)) = sK4(k1_zfmisc_1(sK11(X1,X2)))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f484,f628]) ).
fof(f678,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| sK4(k1_zfmisc_1(X0)) = sK4(k1_zfmisc_1(sK10(X1,X2)))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f484,f619]) ).
fof(f677,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| sK4(k1_zfmisc_1(X0)) = sK4(k1_zfmisc_1(sK9(X1,X2)))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f484,f590]) ).
fof(f676,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| sK4(k1_zfmisc_1(X0)) = sK4(k1_zfmisc_1(sK8(X1,X2)))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f484,f611]) ).
fof(f675,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| sK4(k1_zfmisc_1(X0)) = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK11(X1,X2)))))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f484,f629]) ).
fof(f674,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| sK4(k1_zfmisc_1(X0)) = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK10(X1,X2)))))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f484,f620]) ).
fof(f673,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| sK4(k1_zfmisc_1(X0)) = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK9(X1,X2)))))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f484,f591]) ).
fof(f672,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| sK4(k1_zfmisc_1(X0)) = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK8(X1,X2)))))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f484,f612]) ).
fof(f671,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK4(k1_zfmisc_1(X0)) = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X1))))))
| ~ v1_xboole_0(X1) ),
inference(resolution,[],[f484,f569]) ).
fof(f670,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK4(k1_zfmisc_1(X0)) = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X1))))
| ~ v1_xboole_0(X1) ),
inference(resolution,[],[f484,f424]) ).
fof(f484,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| sK4(k1_zfmisc_1(X0)) = sK4(k1_zfmisc_1(X1)) ),
inference(resolution,[],[f425,f424]) ).
fof(f550,plain,
! [X0] :
( v1_relat_1(sK4(sK4(k1_zfmisc_1(X0))))
| v1_xboole_0(sK4(k1_zfmisc_1(X0)))
| ~ v1_fraenkel(X0) ),
inference(resolution,[],[f517,f240]) ).
fof(f549,plain,
! [X0] :
( v1_funct_1(sK4(sK4(k1_zfmisc_1(X0))))
| v1_xboole_0(sK4(k1_zfmisc_1(X0)))
| ~ v1_fraenkel(X0) ),
inference(resolution,[],[f517,f241]) ).
fof(f666,plain,
! [X0,X1] :
( v1_funct_1(sK4(k1_zfmisc_1(sK11(X0,X1))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f629,f248]) ).
fof(f660,plain,
! [X0,X1] :
( v1_funct_1(sK4(k1_zfmisc_1(sK10(X0,X1))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f620,f248]) ).
fof(f654,plain,
! [X0,X1] :
( v1_funct_1(sK4(k1_zfmisc_1(sK8(X0,X1))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f612,f248]) ).
fof(f665,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK11(X0,X1))) ),
inference(resolution,[],[f629,f249]) ).
fof(f664,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK4(k1_zfmisc_1(sK11(X0,X1))) = X2
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f629,f303]) ).
fof(f663,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK11(X0,X1))))) ),
inference(resolution,[],[f629,f426]) ).
fof(f662,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK4(k1_zfmisc_1(X2)) = sK4(k1_zfmisc_1(sK11(X0,X1)))
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f629,f425]) ).
fof(f661,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK11(X0,X1))))))) ),
inference(resolution,[],[f629,f433]) ).
fof(f629,plain,
! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(sK11(X0,X1))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f610,f555]) ).
fof(f321,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(f659,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK10(X0,X1))) ),
inference(resolution,[],[f620,f249]) ).
fof(f658,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK4(k1_zfmisc_1(sK10(X0,X1))) = X2
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f620,f303]) ).
fof(f657,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK10(X0,X1))))) ),
inference(resolution,[],[f620,f426]) ).
fof(f656,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK4(k1_zfmisc_1(X2)) = sK4(k1_zfmisc_1(sK10(X0,X1)))
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f620,f425]) ).
fof(f655,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK10(X0,X1))))))) ),
inference(resolution,[],[f620,f433]) ).
fof(f620,plain,
! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(sK10(X0,X1))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f609,f555]) ).
fof(f653,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK8(X0,X1))) ),
inference(resolution,[],[f612,f249]) ).
fof(f652,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK4(k1_zfmisc_1(sK8(X0,X1))) = X2
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f612,f303]) ).
fof(f651,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK8(X0,X1))))) ),
inference(resolution,[],[f612,f426]) ).
fof(f650,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK4(k1_zfmisc_1(X2)) = sK4(k1_zfmisc_1(sK8(X0,X1)))
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f612,f425]) ).
fof(f649,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK8(X0,X1))))))) ),
inference(resolution,[],[f612,f433]) ).
fof(f612,plain,
! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(sK8(X0,X1))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f607,f555]) ).
fof(f638,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| spl26_5 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f637,plain,
( spl26_5
<=> v1_xboole_0(u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f627,plain,
( v1_funct_1(sK2)
| ~ m1_fraenkel(k4_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) ),
inference(resolution,[],[f330,f226]) ).
fof(f634,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK11(X0,X1) ),
inference(resolution,[],[f628,f249]) ).
fof(f625,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK10(X0,X1) ),
inference(resolution,[],[f619,f249]) ).
fof(f617,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK8(X0,X1) ),
inference(resolution,[],[f611,f249]) ).
fof(f631,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK11(X0,X1) = sK4(k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f628,f425]) ).
fof(f630,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK11(X0,X1))))) ),
inference(resolution,[],[f628,f433]) ).
fof(f628,plain,
! [X0,X1] :
( v1_xboole_0(sK11(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f610,f408]) ).
fof(f610,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f588,f311]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_1(X3)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f622,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK10(X0,X1) = sK4(k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f619,f425]) ).
fof(f621,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK10(X0,X1))))) ),
inference(resolution,[],[f619,f433]) ).
fof(f619,plain,
! [X0,X1] :
( v1_xboole_0(sK10(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f609,f408]) ).
fof(f609,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f588,f308]) ).
fof(f618,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_funct_1(sK8(X0,X1)) ),
inference(resolution,[],[f611,f248]) ).
fof(f614,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK8(X0,X1) = sK4(k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f611,f425]) ).
fof(f613,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK8(X0,X1))))) ),
inference(resolution,[],[f611,f433]) ).
fof(f611,plain,
! [X0,X1] :
( v1_xboole_0(sK8(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f607,f408]) ).
fof(f607,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK8(X1,X2))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(resolution,[],[f588,f306]) ).
fof(f605,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X1,X1))
| ~ r2_hidden(X0,sK6(X1)) ),
inference(resolution,[],[f588,f268]) ).
fof(f604,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X1,X1))
| ~ r2_hidden(X0,sK5(X1)) ),
inference(resolution,[],[f588,f262]) ).
fof(f588,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X3,X0,X1)
| ~ r2_hidden(X2,X3)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f465,f338]) ).
fof(f467,plain,
! [X2,X0,X1] :
( ~ v1_fraenkel(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(resolution,[],[f326,f241]) ).
fof(f603,plain,
! [X0,X1] :
( v1_funct_1(sK4(k1_zfmisc_1(sK9(X0,X1))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f591,f248]) ).
fof(f602,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK9(X0,X1))) ),
inference(resolution,[],[f591,f249]) ).
fof(f601,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK4(k1_zfmisc_1(sK9(X0,X1))) = X2
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f591,f303]) ).
fof(f600,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK9(X0,X1))))) ),
inference(resolution,[],[f591,f426]) ).
fof(f599,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK4(k1_zfmisc_1(sK9(X0,X1))) = sK4(k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f591,f425]) ).
fof(f598,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK9(X0,X1))))))) ),
inference(resolution,[],[f591,f433]) ).
fof(f591,plain,
! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(sK9(X0,X1))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f587,f555]) ).
fof(f297,plain,
! [X0,X1] :
( v1_funct_1(k5_relat_1(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ( v1_funct_1(k5_relat_1(X0,X1))
& v1_relat_1(k5_relat_1(X0,X1)) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( v1_funct_1(k5_relat_1(X0,X1))
& v1_relat_1(k5_relat_1(X0,X1)) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k5_relat_1(X0,X1))
& v1_relat_1(k5_relat_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f596,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK9(X0,X1) ),
inference(resolution,[],[f590,f249]) ).
fof(f597,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_funct_1(sK9(X0,X1)) ),
inference(resolution,[],[f590,f248]) ).
fof(f593,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK9(X0,X1) = sK4(k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(resolution,[],[f590,f425]) ).
fof(f592,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK9(X0,X1))))) ),
inference(resolution,[],[f590,f433]) ).
fof(f590,plain,
! [X0,X1] :
( v1_xboole_0(sK9(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f587,f408]) ).
fof(f587,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,sK9(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(resolution,[],[f465,f307]) ).
fof(f586,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X0))
| ~ r2_hidden(X1,k6_partfun1(X0)) ),
inference(resolution,[],[f465,f239]) ).
fof(f589,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(resolution,[],[f465,f245]) ).
fof(f465,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) ),
inference(resolution,[],[f326,f339]) ).
fof(f431,plain,
! [X0] :
( ~ v1_fraenkel(k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_relat_1(sK3(X0))
| ~ l1_struct_0(X0) ),
inference(resolution,[],[f251,f240]) ).
fof(f430,plain,
! [X0] :
( ~ v1_fraenkel(k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_funct_1(sK3(X0))
| ~ l1_struct_0(X0) ),
inference(resolution,[],[f251,f241]) ).
fof(f563,plain,
! [X0] :
( ~ r2_hidden(X0,sK4(sK4(k1_zfmisc_1(X0))))
| v1_xboole_0(sK4(k1_zfmisc_1(X0))) ),
inference(resolution,[],[f555,f279]) ).
fof(f579,plain,
! [X0] :
( v1_funct_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f569,f248]) ).
fof(f581,plain,
! [X0] :
( v1_relat_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(resolution,[],[f245,f464]) ).
fof(f245,plain,
! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) )
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( l1_group_1(X0)
=> ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_group_1) ).
fof(f576,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))))) ),
inference(resolution,[],[f569,f426]) ).
fof(f575,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| sK4(k1_zfmisc_1(X1)) = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f569,f425]) ).
fof(f574,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))))))) ),
inference(resolution,[],[f569,f433]) ).
fof(f569,plain,
! [X0] :
( v1_xboole_0(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f555,f422]) ).
fof(f568,plain,
! [X0] :
( m1_subset_1(sK4(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0))))),X0)
| v1_xboole_0(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0))))) ),
inference(resolution,[],[f555,f507]) ).
fof(f566,plain,
! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))) ),
inference(resolution,[],[f555,f525]) ).
fof(f565,plain,
! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))) ),
inference(resolution,[],[f555,f524]) ).
fof(f564,plain,
! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| v1_relat_1(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) ),
inference(resolution,[],[f555,f523]) ).
fof(f561,plain,
! [X0] :
( v1_xboole_0(sK4(k1_zfmisc_1(X0)))
| v1_funct_1(sK4(sK4(k1_zfmisc_1(X0))))
| ~ v1_fraenkel(X0) ),
inference(resolution,[],[f555,f521]) ).
fof(f560,plain,
! [X0] :
( v1_xboole_0(sK4(k1_zfmisc_1(X0)))
| v1_relat_1(sK4(sK4(k1_zfmisc_1(X0))))
| ~ v1_fraenkel(X0) ),
inference(resolution,[],[f555,f522]) ).
fof(f555,plain,
! [X0] :
( r2_hidden(sK4(sK4(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK4(k1_zfmisc_1(X0))) ),
inference(subsumption_resolution,[],[f548,f424]) ).
fof(f548,plain,
! [X0] :
( v1_xboole_0(sK4(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK4(sK4(k1_zfmisc_1(X0))),X0) ),
inference(resolution,[],[f517,f281]) ).
fof(f524,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k1_zfmisc_1(X1))
| m1_subset_1(X2,X1)
| ~ r2_hidden(X2,X0) ),
inference(resolution,[],[f519,f336]) ).
fof(f556,plain,
! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(resolution,[],[f547,f409]) ).
fof(f547,plain,
! [X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(k1_zfmisc_1(X0)) ),
inference(resolution,[],[f409,f279]) ).
fof(f553,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v1_xboole_0(X0)
| v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(X0)))) ),
inference(resolution,[],[f517,f339]) ).
fof(f552,plain,
! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))) ),
inference(resolution,[],[f517,f336]) ).
fof(f551,plain,
! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| v1_relat_1(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) ),
inference(resolution,[],[f517,f329]) ).
fof(f517,plain,
! [X0] :
( m1_subset_1(sK4(sK4(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK4(k1_zfmisc_1(X0))) ),
inference(resolution,[],[f507,f408]) ).
fof(f421,plain,
! [X0] :
( v1_relat_1(k2_group_1(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v1_fraenkel(u1_struct_0(X0)) ),
inference(resolution,[],[f255,f240]) ).
fof(f420,plain,
! [X0] :
( v1_funct_1(k2_group_1(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v1_fraenkel(u1_struct_0(X0)) ),
inference(resolution,[],[f255,f241]) ).
fof(f409,plain,
! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) ),
inference(resolution,[],[f281,f302]) ).
fof(f525,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X0) ),
inference(resolution,[],[f519,f339]) ).
fof(f244,plain,
! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f509,plain,
( ~ v1_group_1(sK15)
| sK15 = g1_group_1(u1_struct_0(sK15),u1_group_1(sK15)) ),
inference(resolution,[],[f246,f348]) ).
fof(f523,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_relat_1(X0) ),
inference(resolution,[],[f519,f329]) ).
fof(f522,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| v1_relat_1(X0)
| ~ v1_fraenkel(X1) ),
inference(resolution,[],[f519,f240]) ).
fof(f521,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| v1_funct_1(X0)
| ~ v1_fraenkel(X1) ),
inference(resolution,[],[f519,f241]) ).
fof(f519,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(resolution,[],[f503,f275]) ).
fof(f503,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X1)
| ~ r2_hidden(X0,X2)
| m1_subset_1(X0,X1) ),
inference(resolution,[],[f336,f302]) ).
fof(f507,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK4(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) ),
inference(resolution,[],[f336,f261]) ).
fof(f516,plain,
sK21 = g1_group_1(u1_struct_0(sK21),u1_group_1(sK21)),
inference(subsumption_resolution,[],[f512,f363]) ).
fof(f512,plain,
( ~ v1_group_1(sK21)
| sK21 = g1_group_1(u1_struct_0(sK21),u1_group_1(sK21)) ),
inference(resolution,[],[f246,f362]) ).
fof(f515,plain,
sK20 = g1_group_1(u1_struct_0(sK20),u1_group_1(sK20)),
inference(subsumption_resolution,[],[f511,f359]) ).
fof(f511,plain,
( ~ v1_group_1(sK20)
| sK20 = g1_group_1(u1_struct_0(sK20),u1_group_1(sK20)) ),
inference(resolution,[],[f246,f357]) ).
fof(f514,plain,
sK19 = g1_group_1(u1_struct_0(sK19),u1_group_1(sK19)),
inference(subsumption_resolution,[],[f510,f356]) ).
fof(f510,plain,
( ~ v1_group_1(sK19)
| sK19 = g1_group_1(u1_struct_0(sK19),u1_group_1(sK19)) ),
inference(resolution,[],[f246,f354]) ).
fof(f513,plain,
sK1 = g1_group_1(u1_struct_0(sK1),u1_group_1(sK1)),
inference(subsumption_resolution,[],[f508,f222]) ).
fof(f508,plain,
( ~ v1_group_1(sK1)
| sK1 = g1_group_1(u1_struct_0(sK1),u1_group_1(sK1)) ),
inference(resolution,[],[f246,f225]) ).
fof(f246,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( l1_group_1(X0)
=> ( v1_group_1(X0)
=> g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_group_1) ).
fof(f336,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f433,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(X0)))) ),
inference(resolution,[],[f426,f424]) ).
fof(f425,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| sK4(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f424,f303]) ).
fof(f480,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(resolution,[],[f423,f275]) ).
fof(f423,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f339,f302]) ).
fof(f476,plain,
! [X0,X1] : v1_relat_1(sK8(X0,X1)),
inference(resolution,[],[f472,f306]) ).
fof(f472,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f464,f338]) ).
fof(f471,plain,
! [X0,X1] : v1_relat_1(sK9(X0,X1)),
inference(resolution,[],[f464,f307]) ).
fof(f464,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f326,f329]) ).
fof(f469,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(global_subsumption,[],[f227,f231,f234,f233,f245,f244,f246,f253,f254,f288,f290,f294,f293,f297,f296,f376,f299,f298,f301,f300,f321,f328,f327,f332,f331,f330,f334,f333,f335,f336,f340,f343,f342,f341,f344,f345,f221,f222,f223,f224,f225,f228,f346,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f368,f369,f370,f372,f373,f375,f229,f232,f263,f269,f270,f275,f242,f248,f377,f378,f261,f309,f310,f312,f313,f230,f381,f382,f238,f239,f243,f249,f384,f385,f262,f391,f386,f267,f268,f272,f279,f305,f306,f307,f308,f311,f314,f315,f395,f316,f396,f226,f240,f397,f241,f398,f250,f252,f302,f303,f281,f409,f408,f410,f295,f329,f411,f412,f413,f337,f414,f338,f415,f399,f417,f400,f418,f255,f419,f420,f421,f339,f423,f422,f424,f425,f427,f251,f429,f430,f431,f426,f433,f437,f438,f439,f432,f443,f448,f447,f451,f444,f326,f464,f465,f466,f467,f468]) ).
fof(f468,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(resolution,[],[f326,f240]) ).
fof(f466,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(resolution,[],[f326,f281]) ).
fof(f326,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f444,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(k1_xboole_0))
| v1_xboole_0(k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[],[f408,f432]) ).
fof(f451,plain,
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| r2_hidden(k1_xboole_0,k1_zfmisc_1(k1_xboole_0)) ),
inference(resolution,[],[f447,f281]) ).
fof(f447,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_xboole_0)),
inference(superposition,[],[f261,f432]) ).
fof(f448,plain,
! [X0] : ~ r2_hidden(X0,k1_xboole_0),
inference(subsumption_resolution,[],[f442,f228]) ).
fof(f442,plain,
! [X0] :
( ~ r2_hidden(X0,k1_xboole_0)
| ~ v1_xboole_0(k1_xboole_0) ),
inference(superposition,[],[f422,f432]) ).
fof(f443,plain,
( ~ r2_hidden(k1_zfmisc_1(k1_xboole_0),k1_xboole_0)
| v1_xboole_0(k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[],[f410,f432]) ).
fof(f432,plain,
k1_xboole_0 = sK4(k1_zfmisc_1(k1_xboole_0)),
inference(resolution,[],[f426,f228]) ).
fof(f439,plain,
k1_xboole_0 = sK4(k1_zfmisc_1(k1_xboole_0)),
inference(forward_demodulation,[],[f436,f386]) ).
fof(f436,plain,
k1_xboole_0 = sK4(k1_zfmisc_1(sK25)),
inference(resolution,[],[f426,f375]) ).
fof(f438,plain,
k1_xboole_0 = sK4(k1_zfmisc_1(k1_xboole_0)),
inference(forward_demodulation,[],[f435,f385]) ).
fof(f435,plain,
k1_xboole_0 = sK4(k1_zfmisc_1(sK22)),
inference(resolution,[],[f426,f365]) ).
fof(f437,plain,
k1_xboole_0 = sK4(k1_zfmisc_1(k1_xboole_0)),
inference(forward_demodulation,[],[f434,f384]) ).
fof(f434,plain,
k1_xboole_0 = sK4(k1_zfmisc_1(sK16)),
inference(resolution,[],[f426,f349]) ).
fof(f426,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK4(k1_zfmisc_1(X0)) ),
inference(resolution,[],[f424,f249]) ).
fof(f429,plain,
! [X0] :
( r2_hidden(sK3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(resolution,[],[f251,f281]) ).
fof(f251,plain,
! [X0] :
( m1_subset_1(sK3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ( ~ v1_xboole_0(sK3(X0))
& m1_subset_1(sK3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f104,f172]) ).
fof(f172,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK3(X0))
& m1_subset_1(sK3(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f427,plain,
! [X0] :
( v1_funct_1(sK4(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f424,f248]) ).
fof(f424,plain,
! [X0] :
( v1_xboole_0(sK4(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f422,f408]) ).
fof(f422,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sK4(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f339,f261]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f255,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f418,plain,
! [X0] :
( ~ v1_fraenkel(k1_zfmisc_1(X0))
| v1_relat_1(X0) ),
inference(resolution,[],[f400,f275]) ).
fof(f400,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_relat_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) ),
inference(resolution,[],[f302,f240]) ).
fof(f417,plain,
! [X0] :
( ~ v1_fraenkel(k1_zfmisc_1(X0))
| v1_funct_1(X0) ),
inference(resolution,[],[f399,f275]) ).
fof(f399,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_funct_1(X0)
| ~ v1_fraenkel(k1_zfmisc_1(X1)) ),
inference(resolution,[],[f302,f241]) ).
fof(f415,plain,
! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1),
inference(resolution,[],[f337,f307]) ).
fof(f338,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f414,plain,
! [X0] : m1_relset_1(k6_partfun1(X0),X0,X0),
inference(resolution,[],[f337,f239]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f413,plain,
! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)),
inference(resolution,[],[f412,f275]) ).
fof(f412,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| v1_relat_1(X0) ),
inference(resolution,[],[f329,f302]) ).
fof(f411,plain,
! [X0,X1] : v1_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),
inference(resolution,[],[f329,f261]) ).
fof(f329,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f295,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_relat_1(X0) )
=> v1_relat_1(k5_relat_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f410,plain,
! [X0] :
( ~ r2_hidden(X0,sK4(X0))
| v1_xboole_0(X0) ),
inference(resolution,[],[f408,f279]) ).
fof(f408,plain,
! [X0] :
( r2_hidden(sK4(X0),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f281,f261]) ).
fof(f281,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f303,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f302,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f78]) ).
fof(f78,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f252,plain,
! [X0] :
( ~ v1_xboole_0(sK3(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f250,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f398,plain,
! [X0] :
( v1_funct_1(sK4(X0))
| ~ v1_fraenkel(X0) ),
inference(resolution,[],[f241,f261]) ).
fof(f241,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_funct_1(X1)
| ~ v1_fraenkel(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v1_fraenkel(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( v1_fraenkel(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_funct_1(X1)
& v1_relat_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_fraenkel) ).
fof(f397,plain,
! [X0] :
( v1_relat_1(sK4(X0))
| ~ v1_fraenkel(X0) ),
inference(resolution,[],[f240,f261]) ).
fof(f240,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_relat_1(X1)
| ~ v1_fraenkel(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f226,plain,
m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k4_autgroup(sK1)),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ( sK2 != k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK2,k6_autgroup(sK1,k2_group_1(sK1)))
| sK2 != k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),k6_autgroup(sK1,k2_group_1(sK1)),sK2) )
& m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k4_autgroup(sK1))
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& v1_group_1(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f91,f170,f169]) ).
fof(f169,plain,
( ? [X0] :
( ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ( k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),X1,k6_autgroup(sK1,k2_group_1(sK1))) != X1
| k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),k6_autgroup(sK1,k2_group_1(sK1)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(sK1),u1_struct_0(sK1),k4_autgroup(sK1)) )
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& v1_group_1(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
( ? [X1] :
( ( k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),X1,k6_autgroup(sK1,k2_group_1(sK1))) != X1
| k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),k6_autgroup(sK1,k2_group_1(sK1)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(sK1),u1_struct_0(sK1),k4_autgroup(sK1)) )
=> ( ( sK2 != k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK2,k6_autgroup(sK1,k2_group_1(sK1)))
| sK2 != k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),k6_autgroup(sK1,k2_group_1(sK1)),sK2) )
& m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k4_autgroup(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
? [X0] :
( ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1 ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_autgroup) ).
fof(f396,plain,
! [X0,X1] : v1_fraenkel(sK7(X0,X1)),
inference(resolution,[],[f316,f305]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_fraenkel(X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f395,plain,
! [X0,X1] : ~ v1_xboole_0(sK7(X0,X1)),
inference(resolution,[],[f315,f305]) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f314,plain,
! [X0,X1] : v1_funct_2(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( v1_funct_2(sK11(X0,X1),X0,X1)
& v1_funct_1(sK11(X0,X1))
& v1_relat_1(sK11(X0,X1))
& m1_relset_1(sK11(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f54,f189]) ).
fof(f189,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_2(sK11(X0,X1),X0,X1)
& v1_funct_1(sK11(X0,X1))
& v1_relat_1(sK11(X0,X1))
& m1_relset_1(sK11(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f54,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_2) ).
fof(f311,plain,
! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f190]) ).
fof(f308,plain,
! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( v1_funct_1(sK10(X0,X1))
& v1_relat_1(sK10(X0,X1))
& m1_relset_1(sK10(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f61,f187]) ).
fof(f187,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_1(sK10(X0,X1))
& v1_relat_1(sK10(X0,X1))
& m1_relset_1(sK10(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f61,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_partfun1) ).
fof(f307,plain,
! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f44,f185]) ).
fof(f185,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK9(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f306,plain,
! [X0,X1] : m1_relset_1(sK8(X0,X1),X0,X1),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1] : m1_relset_1(sK8(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f41,f183]) ).
fof(f183,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK8(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f41,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f305,plain,
! [X0,X1] : m1_fraenkel(sK7(X0,X1),X0,X1),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1] : m1_fraenkel(sK7(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f40,f181]) ).
fof(f181,plain,
! [X0,X1] :
( ? [X2] : m1_fraenkel(X2,X0,X1)
=> m1_fraenkel(sK7(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f40,axiom,
! [X0,X1] :
? [X2] : m1_fraenkel(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_fraenkel) ).
fof(f279,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f272,plain,
! [X0] : v1_funct_2(sK6(X0),X0,X0),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( v3_funct_2(sK6(X0),X0,X0)
& v2_funct_2(sK6(X0),X0,X0)
& v1_funct_2(sK6(X0),X0,X0)
& v2_funct_1(sK6(X0))
& v1_funct_1(sK6(X0))
& v1_relat_1(sK6(X0))
& m1_relset_1(sK6(X0),X0,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f59,f178]) ).
fof(f178,plain,
! [X0] :
( ? [X1] :
( v3_funct_2(X1,X0,X0)
& v2_funct_2(X1,X0,X0)
& v1_funct_2(X1,X0,X0)
& v2_funct_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1)
& m1_relset_1(X1,X0,X0) )
=> ( v3_funct_2(sK6(X0),X0,X0)
& v2_funct_2(sK6(X0),X0,X0)
& v1_funct_2(sK6(X0),X0,X0)
& v2_funct_1(sK6(X0))
& v1_funct_1(sK6(X0))
& v1_relat_1(sK6(X0))
& m1_relset_1(sK6(X0),X0,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f59,axiom,
! [X0] :
? [X1] :
( v3_funct_2(X1,X0,X0)
& v2_funct_2(X1,X0,X0)
& v1_funct_2(X1,X0,X0)
& v2_funct_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1)
& m1_relset_1(X1,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_2) ).
fof(f268,plain,
! [X0] : m1_relset_1(sK6(X0),X0,X0),
inference(cnf_transformation,[],[f179]) ).
fof(f267,plain,
! [X0] : v1_partfun1(sK5(X0),X0,X0),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( v1_partfun1(sK5(X0),X0,X0)
& v8_relat_2(sK5(X0))
& v3_relat_2(sK5(X0))
& v1_relat_2(sK5(X0))
& v1_relat_1(sK5(X0))
& m1_relset_1(sK5(X0),X0,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f87,f176]) ).
fof(f176,plain,
! [X0] :
( ? [X1] :
( v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1)
& v1_relat_2(X1)
& v1_relat_1(X1)
& m1_relset_1(X1,X0,X0) )
=> ( v1_partfun1(sK5(X0),X0,X0)
& v8_relat_2(sK5(X0))
& v3_relat_2(sK5(X0))
& v1_relat_2(sK5(X0))
& v1_relat_1(sK5(X0))
& m1_relset_1(sK5(X0),X0,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0] :
? [X1] :
( v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1)
& v1_relat_2(X1)
& v1_relat_1(X1)
& m1_relset_1(X1,X0,X0) ),
inference(pure_predicate_removal,[],[f65]) ).
fof(f65,axiom,
! [X0] :
? [X1] :
( v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v4_relat_2(X1)
& v3_relat_2(X1)
& v1_relat_2(X1)
& v1_relat_1(X1)
& m1_relset_1(X1,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_partfun1) ).
fof(f386,plain,
k1_xboole_0 = sK25,
inference(resolution,[],[f249,f375]) ).
fof(f391,plain,
v1_relat_1(k1_xboole_0),
inference(superposition,[],[f364,f385]) ).
fof(f262,plain,
! [X0] : m1_relset_1(sK5(X0),X0,X0),
inference(cnf_transformation,[],[f177]) ).
fof(f385,plain,
k1_xboole_0 = sK22,
inference(resolution,[],[f249,f365]) ).
fof(f384,plain,
k1_xboole_0 = sK16,
inference(resolution,[],[f249,f349]) ).
fof(f249,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f243,plain,
! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f239,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( m2_relset_1(k6_partfun1(X0),X0,X0)
& v1_partfun1(k6_partfun1(X0),X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(f238,plain,
! [X0] : v1_partfun1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f382,plain,
! [X0] : v1_relat_1(k6_partfun1(X0)),
inference(superposition,[],[f229,f230]) ).
fof(f381,plain,
! [X0] : v1_funct_1(k6_partfun1(X0)),
inference(superposition,[],[f232,f230]) ).
fof(f230,plain,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f313,plain,
! [X0,X1] : v1_funct_1(sK11(X0,X1)),
inference(cnf_transformation,[],[f190]) ).
fof(f312,plain,
! [X0,X1] : v1_relat_1(sK11(X0,X1)),
inference(cnf_transformation,[],[f190]) ).
fof(f310,plain,
! [X0,X1] : v1_funct_1(sK10(X0,X1)),
inference(cnf_transformation,[],[f188]) ).
fof(f309,plain,
! [X0,X1] : v1_relat_1(sK10(X0,X1)),
inference(cnf_transformation,[],[f188]) ).
fof(f261,plain,
! [X0] : m1_subset_1(sK4(X0),X0),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] : m1_subset_1(sK4(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f42,f174]) ).
fof(f174,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f42,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f378,plain,
v1_funct_1(sK16),
inference(resolution,[],[f248,f349]) ).
fof(f377,plain,
v1_funct_1(k1_xboole_0),
inference(resolution,[],[f248,f228]) ).
fof(f248,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_funct_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f242,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f275,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f270,plain,
! [X0] : v1_funct_1(sK6(X0)),
inference(cnf_transformation,[],[f179]) ).
fof(f269,plain,
! [X0] : v1_relat_1(sK6(X0)),
inference(cnf_transformation,[],[f179]) ).
fof(f263,plain,
! [X0] : v1_relat_1(sK5(X0)),
inference(cnf_transformation,[],[f177]) ).
fof(f232,plain,
! [X0] : v1_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( v1_funct_1(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f229,plain,
! [X0] : v1_relat_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] : v1_relat_1(k6_relat_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f375,plain,
v1_xboole_0(sK25),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
( v1_xboole_0(sK25)
& v2_funct_1(sK25)
& v1_funct_1(sK25)
& v1_relat_1(sK25) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f56,f219]) ).
fof(f219,plain,
( ? [X0] :
( v1_xboole_0(X0)
& v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_xboole_0(sK25)
& v2_funct_1(sK25)
& v1_funct_1(sK25)
& v1_relat_1(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f56,axiom,
? [X0] :
( v1_xboole_0(X0)
& v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_partfun1) ).
fof(f373,plain,
v1_funct_1(sK25),
inference(cnf_transformation,[],[f220]) ).
fof(f372,plain,
v1_relat_1(sK25),
inference(cnf_transformation,[],[f220]) ).
fof(f370,plain,
v1_funct_1(sK24),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
( v2_funct_1(sK24)
& v1_funct_1(sK24)
& v1_relat_1(sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f63,f217]) ).
fof(f217,plain,
( ? [X0] :
( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v2_funct_1(sK24)
& v1_funct_1(sK24)
& v1_relat_1(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f63,axiom,
? [X0] :
( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f369,plain,
v1_relat_1(sK24),
inference(cnf_transformation,[],[f218]) ).
fof(f368,plain,
v1_funct_1(sK23),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
( v1_funct_1(sK23)
& v1_relat_1(sK23) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f53,f215]) ).
fof(f215,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK23)
& v1_relat_1(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f53,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f367,plain,
v1_relat_1(sK23),
inference(cnf_transformation,[],[f216]) ).
fof(f366,plain,
v1_funct_1(sK22),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
( v1_funct_1(sK22)
& v1_xboole_0(sK22)
& v1_relat_1(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f58,f213]) ).
fof(f213,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK22)
& v1_xboole_0(sK22)
& v1_relat_1(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f58,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f365,plain,
v1_xboole_0(sK22),
inference(cnf_transformation,[],[f214]) ).
fof(f364,plain,
v1_relat_1(sK22),
inference(cnf_transformation,[],[f214]) ).
fof(f363,plain,
v1_group_1(sK21),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
( v1_group_1(sK21)
& l1_group_1(sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f55,f211]) ).
fof(f211,plain,
( ? [X0] :
( v1_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(sK21)
& l1_group_1(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f55,axiom,
? [X0] :
( v1_group_1(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_group_1) ).
fof(f362,plain,
l1_group_1(sK21),
inference(cnf_transformation,[],[f212]) ).
fof(f361,plain,
v4_group_1(sK20),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
( v4_group_1(sK20)
& v3_group_1(sK20)
& v1_group_1(sK20)
& ~ v3_struct_0(sK20)
& l1_group_1(sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f89,f209]) ).
fof(f209,plain,
( ? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v4_group_1(sK20)
& v3_group_1(sK20)
& v1_group_1(sK20)
& ~ v3_struct_0(sK20)
& l1_group_1(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
inference(pure_predicate_removal,[],[f64]) ).
fof(f64,axiom,
? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v2_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_group_1) ).
fof(f360,plain,
v3_group_1(sK20),
inference(cnf_transformation,[],[f210]) ).
fof(f359,plain,
v1_group_1(sK20),
inference(cnf_transformation,[],[f210]) ).
fof(f358,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f210]) ).
fof(f357,plain,
l1_group_1(sK20),
inference(cnf_transformation,[],[f210]) ).
fof(f356,plain,
v1_group_1(sK19),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( v1_group_1(sK19)
& ~ v3_struct_0(sK19)
& l1_group_1(sK19) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f60,f207]) ).
fof(f207,plain,
( ? [X0] :
( v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v1_group_1(sK19)
& ~ v3_struct_0(sK19)
& l1_group_1(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f60,axiom,
? [X0] :
( v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_group_1) ).
fof(f355,plain,
~ v3_struct_0(sK19),
inference(cnf_transformation,[],[f208]) ).
fof(f354,plain,
l1_group_1(sK19),
inference(cnf_transformation,[],[f208]) ).
fof(f353,plain,
~ v3_struct_0(sK18),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
( ~ v3_struct_0(sK18)
& l1_struct_0(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f66,f205]) ).
fof(f205,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK18)
& l1_struct_0(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f66,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f352,plain,
l1_struct_0(sK18),
inference(cnf_transformation,[],[f206]) ).
fof(f351,plain,
v1_fraenkel(sK17),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( v1_fraenkel(sK17)
& ~ v1_xboole_0(sK17) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f52,f203]) ).
fof(f203,plain,
( ? [X0] :
( v1_fraenkel(X0)
& ~ v1_xboole_0(X0) )
=> ( v1_fraenkel(sK17)
& ~ v1_xboole_0(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f52,axiom,
? [X0] :
( v1_fraenkel(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_fraenkel) ).
fof(f350,plain,
~ v1_xboole_0(sK17),
inference(cnf_transformation,[],[f204]) ).
fof(f349,plain,
v1_xboole_0(sK16),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
v1_xboole_0(sK16),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f57,f201]) ).
fof(f201,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK16) ),
introduced(choice_axiom,[]) ).
fof(f57,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f348,plain,
l1_group_1(sK15),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
l1_group_1(sK15),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f38,f199]) ).
fof(f199,plain,
( ? [X0] : l1_group_1(X0)
=> l1_group_1(sK15) ),
introduced(choice_axiom,[]) ).
fof(f38,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_group_1) ).
fof(f347,plain,
l1_struct_0(sK14),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
l1_struct_0(sK14),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f39,f197]) ).
fof(f197,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK14) ),
introduced(choice_axiom,[]) ).
fof(f39,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f346,plain,
~ v1_xboole_0(sK13),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
~ v1_xboole_0(sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f62,f195]) ).
fof(f195,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK13) ),
introduced(choice_axiom,[]) ).
fof(f62,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f228,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f225,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f171]) ).
fof(f224,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f171]) ).
fof(f223,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f171]) ).
fof(f222,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f171]) ).
fof(f221,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f171]) ).
fof(f345,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X5,X2,X3)
| k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X4,X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X2,X3)
& m1_relset_1(X4,X0,X1) )
=> k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
fof(f344,plain,
! [X2,X3,X0,X1,X4,X5] :
( m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4,X5] :
( m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4,X5] :
( m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X2,X3)
& m1_relset_1(X4,X0,X1) )
=> m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relset_1) ).
fof(f341,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4] :
( ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) )
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4] :
( ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) )
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& m1_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_funct_2) ).
fof(f342,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f343,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f340,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& m1_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(f300,plain,
! [X2,X3,X0,X1] :
( g1_group_1(X0,X1) != g1_group_1(X2,X3)
| X0 = X2
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_group_1(X0,X1) != g1_group_1(X2,X3) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_group_1(X0,X1) != g1_group_1(X2,X3) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2,X3] :
( g1_group_1(X0,X1) = g1_group_1(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_group_1) ).
fof(f301,plain,
! [X2,X3,X0,X1] :
( g1_group_1(X0,X1) != g1_group_1(X2,X3)
| X1 = X3
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f298,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g1_group_1) ).
fof(f299,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f376,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(global_subsumption,[],[f227,f226,f225,f224,f223,f222,f221,f228,f229,f230,f232,f231,f234,f233,f239,f238,f241,f240,f242,f245,f244,f243,f246,f248,f249,f250,f252,f251,f253,f254,f255,f261,f267,f263,f262,f272,f270,f269,f268,f275,f279,f281,f288,f290,f294,f293,f295,f297,f296]) ).
fof(f296,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f293,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g1_group_1(X0,X1))
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& ~ v1_xboole_0(X0) )
=> ( v1_group_1(g1_group_1(X0,X1))
& ~ v3_struct_0(g1_group_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_group_1) ).
fof(f294,plain,
! [X0,X1] :
( v1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_funct_2) ).
fof(f288,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_autgroup) ).
fof(f254,plain,
! [X0] :
( ~ l1_group_1(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_autgroup) ).
fof(f233,plain,
! [X0] : v1_relat_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( v8_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
inference(pure_predicate_removal,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( v8_relat_2(k6_relat_1(X0))
& v4_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_partfun1) ).
fof(f234,plain,
! [X0] : v1_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f86]) ).
fof(f231,plain,
! [X0] : v1_relat_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f227,plain,
( sK2 != k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK2,k6_autgroup(sK1,k2_group_1(sK1)))
| sK2 != k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),k6_autgroup(sK1,k2_group_1(sK1)),sK2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f4631,plain,
( ! [X0] : k7_relset_1(u1_struct_0(sK1),u1_struct_0(sK1),X0,X0,sK2,k6_partfun1(X0)) = k5_relat_1(sK2,k6_partfun1(X0))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f1167,f991]) ).
fof(f991,plain,
( m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f970,f337]) ).
fof(f1167,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X3,X0,X1)
| k7_relset_1(X0,X1,X2,X2,X3,k6_partfun1(X2)) = k5_relat_1(X3,k6_partfun1(X2)) ),
inference(resolution,[],[f345,f414]) ).
fof(f6773,plain,
( k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK2,k6_partfun1(u1_struct_0(sK1))) = k5_relat_1(sK2,k6_partfun1(u1_struct_0(sK1)))
| spl26_5
| ~ spl26_6
| ~ spl26_7 ),
inference(subsumption_resolution,[],[f6772,f414]) ).
fof(f6772,plain,
( ~ m1_relset_1(k6_partfun1(u1_struct_0(sK1)),u1_struct_0(sK1),u1_struct_0(sK1))
| k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK2,k6_partfun1(u1_struct_0(sK1))) = k5_relat_1(sK2,k6_partfun1(u1_struct_0(sK1)))
| spl26_5
| ~ spl26_6
| ~ spl26_7 ),
inference(subsumption_resolution,[],[f6770,f381]) ).
fof(f6770,plain,
( ~ v1_funct_1(k6_partfun1(u1_struct_0(sK1)))
| ~ m1_relset_1(k6_partfun1(u1_struct_0(sK1)),u1_struct_0(sK1),u1_struct_0(sK1))
| k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK2,k6_partfun1(u1_struct_0(sK1))) = k5_relat_1(sK2,k6_partfun1(u1_struct_0(sK1)))
| spl26_5
| ~ spl26_6
| ~ spl26_7 ),
inference(resolution,[],[f2775,f238]) ).
fof(f2775,plain,
( ! [X0,X1] :
( ~ v1_partfun1(X1,u1_struct_0(sK1),X0)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,u1_struct_0(sK1),X0)
| k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),X0,sK2,X1) = k5_relat_1(sK2,X1) )
| spl26_5
| ~ spl26_6
| ~ spl26_7 ),
inference(subsumption_resolution,[],[f2774,f638]) ).
fof(f2774,plain,
( ! [X0,X1] :
( k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),X0,sK2,X1) = k5_relat_1(sK2,X1)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,u1_struct_0(sK1),X0)
| v1_xboole_0(u1_struct_0(sK1))
| ~ v1_partfun1(X1,u1_struct_0(sK1),X0) )
| spl26_5
| ~ spl26_6
| ~ spl26_7 ),
inference(subsumption_resolution,[],[f2773,f647]) ).
fof(f647,plain,
( v1_funct_1(sK2)
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f645,plain,
( spl26_7
<=> v1_funct_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f2773,plain,
( ! [X0,X1] :
( k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),X0,sK2,X1) = k5_relat_1(sK2,X1)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,u1_struct_0(sK1),X0)
| ~ v1_funct_1(sK2)
| v1_xboole_0(u1_struct_0(sK1))
| ~ v1_partfun1(X1,u1_struct_0(sK1),X0) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f2747,f991]) ).
fof(f2747,plain,
( ! [X0,X1] :
( k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),X0,sK2,X1) = k5_relat_1(sK2,X1)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_relset_1(X1,u1_struct_0(sK1),X0)
| ~ v1_funct_1(sK2)
| v1_xboole_0(u1_struct_0(sK1))
| ~ v1_partfun1(X1,u1_struct_0(sK1),X0) )
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f1581,f969]) ).
fof(f1581,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X4,X3,X1)
| k7_funct_2(X3,X1,X2,X4,X0) = k5_relat_1(X4,X0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X4,X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| ~ v1_partfun1(X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f1576]) ).
fof(f1576,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_funct_2(X3,X1,X2,X4,X0) = k5_relat_1(X4,X0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X4,X3,X1)
| ~ v1_funct_2(X4,X3,X1)
| ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| ~ v1_partfun1(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(resolution,[],[f340,f321]) ).
fof(f6679,plain,
( spl26_5
| ~ spl26_6
| ~ spl26_7
| spl26_32
| ~ spl26_42 ),
inference(avatar_contradiction_clause,[],[f6678]) ).
fof(f6678,plain,
( $false
| spl26_5
| ~ spl26_6
| ~ spl26_7
| spl26_32
| ~ spl26_42 ),
inference(subsumption_resolution,[],[f6677,f1287]) ).
fof(f1287,plain,
( sK2 != k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),k6_partfun1(u1_struct_0(sK1)),sK2)
| spl26_32 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1285,plain,
( spl26_32
<=> sK2 = k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),k6_partfun1(u1_struct_0(sK1)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_32])]) ).
fof(f6677,plain,
( sK2 = k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),k6_partfun1(u1_struct_0(sK1)),sK2)
| spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_42 ),
inference(forward_demodulation,[],[f6676,f1887]) ).
fof(f1887,plain,
( sK2 = k5_relat_1(k6_partfun1(u1_struct_0(sK1)),sK2)
| spl26_5
| ~ spl26_6 ),
inference(superposition,[],[f1734,f988]) ).
fof(f988,plain,
( sK2 = k7_relset_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),k6_partfun1(u1_struct_0(sK1)),sK2)
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f970,f327]) ).
fof(f1734,plain,
( ! [X0] : k7_relset_1(X0,X0,u1_struct_0(sK1),u1_struct_0(sK1),k6_partfun1(X0),sK2) = k5_relat_1(k6_partfun1(X0),sK2)
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f1173,f414]) ).
fof(f1173,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k7_relset_1(X0,X1,u1_struct_0(sK1),u1_struct_0(sK1),X2,sK2) = k5_relat_1(X2,sK2) )
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f345,f991]) ).
fof(f6676,plain,
( k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),k6_partfun1(u1_struct_0(sK1)),sK2) = k5_relat_1(k6_partfun1(u1_struct_0(sK1)),sK2)
| spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_42 ),
inference(subsumption_resolution,[],[f6675,f381]) ).
fof(f6675,plain,
( k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),k6_partfun1(u1_struct_0(sK1)),sK2) = k5_relat_1(k6_partfun1(u1_struct_0(sK1)),sK2)
| ~ v1_funct_1(k6_partfun1(u1_struct_0(sK1)))
| spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_42 ),
inference(subsumption_resolution,[],[f6656,f414]) ).
fof(f6656,plain,
( ~ m1_relset_1(k6_partfun1(u1_struct_0(sK1)),u1_struct_0(sK1),u1_struct_0(sK1))
| k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),k6_partfun1(u1_struct_0(sK1)),sK2) = k5_relat_1(k6_partfun1(u1_struct_0(sK1)),sK2)
| ~ v1_funct_1(k6_partfun1(u1_struct_0(sK1)))
| spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_42 ),
inference(resolution,[],[f1592,f1417]) ).
fof(f1417,plain,
( v1_funct_2(k6_partfun1(u1_struct_0(sK1)),u1_struct_0(sK1),u1_struct_0(sK1))
| spl26_5
| ~ spl26_6
| ~ spl26_42 ),
inference(subsumption_resolution,[],[f1416,f638]) ).
fof(f1416,plain,
( v1_funct_2(k6_partfun1(u1_struct_0(sK1)),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ spl26_6
| ~ spl26_42 ),
inference(subsumption_resolution,[],[f1413,f642]) ).
fof(f1413,plain,
( v1_funct_2(k6_partfun1(u1_struct_0(sK1)),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_fraenkel(k4_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ spl26_42 ),
inference(resolution,[],[f1376,f331]) ).
fof(f1376,plain,
( m2_fraenkel(k6_partfun1(u1_struct_0(sK1)),u1_struct_0(sK1),u1_struct_0(sK1),k4_autgroup(sK1))
| ~ spl26_42 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f1374,plain,
( spl26_42
<=> m2_fraenkel(k6_partfun1(u1_struct_0(sK1)),u1_struct_0(sK1),u1_struct_0(sK1),k4_autgroup(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_42])]) ).
fof(f1592,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,X0,u1_struct_0(sK1))
| ~ m1_relset_1(X1,X0,u1_struct_0(sK1))
| k7_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK1),X1,sK2) = k5_relat_1(X1,sK2)
| ~ v1_funct_1(X1) )
| spl26_5
| ~ spl26_6
| ~ spl26_7 ),
inference(subsumption_resolution,[],[f1591,f638]) ).
fof(f1591,plain,
( ! [X0,X1] :
( k7_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK1),X1,sK2) = k5_relat_1(X1,sK2)
| ~ m1_relset_1(X1,X0,u1_struct_0(sK1))
| ~ v1_funct_2(X1,X0,u1_struct_0(sK1))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(sK1)) )
| spl26_5
| ~ spl26_6
| ~ spl26_7 ),
inference(subsumption_resolution,[],[f1590,f647]) ).
fof(f1590,plain,
( ! [X0,X1] :
( k7_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK1),X1,sK2) = k5_relat_1(X1,sK2)
| ~ v1_funct_1(sK2)
| ~ m1_relset_1(X1,X0,u1_struct_0(sK1))
| ~ v1_funct_2(X1,X0,u1_struct_0(sK1))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(sK1)) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f1577,f991]) ).
fof(f1577,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| k7_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK1),X1,sK2) = k5_relat_1(X1,sK2)
| ~ v1_funct_1(sK2)
| ~ m1_relset_1(X1,X0,u1_struct_0(sK1))
| ~ v1_funct_2(X1,X0,u1_struct_0(sK1))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(sK1)) )
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f340,f969]) ).
fof(f6610,plain,
( ~ spl26_57
| spl26_58
| spl26_5
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f6260,f641,f637,f6607,f6603]) ).
fof(f6603,plain,
( spl26_57
<=> sK1 = g1_group_1(sK2,k5_relat_1(sK11(k2_zfmisc_1(sK2,sK2),sK2),sK6(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_57])]) ).
fof(f6607,plain,
( spl26_58
<=> u1_struct_0(sK1) = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_58])]) ).
fof(f6260,plain,
( u1_struct_0(sK1) = sK2
| sK1 != g1_group_1(sK2,k5_relat_1(sK11(k2_zfmisc_1(sK2,sK2),sK2),sK6(sK2)))
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6259,f6197]) ).
fof(f6197,plain,
( ! [X0] : v1_funct_1(k5_relat_1(sK11(X0,sK2),sK6(sK2)))
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6196,f1043]) ).
fof(f1043,plain,
( ~ v1_xboole_0(sK2)
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f985,f991]) ).
fof(f985,plain,
( ~ v1_xboole_0(sK2)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f984,f638]) ).
fof(f984,plain,
( ~ v1_xboole_0(sK2)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| spl26_5
| ~ spl26_6 ),
inference(duplicate_literal_removal,[],[f983]) ).
fof(f983,plain,
( ~ v1_xboole_0(sK2)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f969,f915]) ).
fof(f6196,plain,
( ! [X0] :
( v1_funct_1(k5_relat_1(sK11(X0,sK2),sK6(sK2)))
| v1_xboole_0(sK2) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6195,f313]) ).
fof(f6195,plain,
( ! [X0] :
( v1_funct_1(k5_relat_1(sK11(X0,sK2),sK6(sK2)))
| ~ v1_funct_1(sK11(X0,sK2))
| v1_xboole_0(sK2) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6194,f314]) ).
fof(f6194,plain,
( ! [X0] :
( v1_funct_1(k5_relat_1(sK11(X0,sK2),sK6(sK2)))
| ~ v1_funct_2(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_1(sK11(X0,sK2))
| v1_xboole_0(sK2) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6193,f311]) ).
fof(f6193,plain,
( ! [X0] :
( v1_funct_1(k5_relat_1(sK11(X0,sK2),sK6(sK2)))
| ~ m1_relset_1(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_2(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_1(sK11(X0,sK2))
| v1_xboole_0(sK2) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6192,f270]) ).
fof(f6192,plain,
( ! [X0] :
( v1_funct_1(k5_relat_1(sK11(X0,sK2),sK6(sK2)))
| ~ v1_funct_1(sK6(sK2))
| ~ m1_relset_1(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_2(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_1(sK11(X0,sK2))
| v1_xboole_0(sK2) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6191,f272]) ).
fof(f6191,plain,
( ! [X0] :
( v1_funct_1(k5_relat_1(sK11(X0,sK2),sK6(sK2)))
| ~ v1_funct_2(sK6(sK2),sK2,sK2)
| ~ v1_funct_1(sK6(sK2))
| ~ m1_relset_1(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_2(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_1(sK11(X0,sK2))
| v1_xboole_0(sK2) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6171,f268]) ).
fof(f6171,plain,
( ! [X0] :
( v1_funct_1(k5_relat_1(sK11(X0,sK2),sK6(sK2)))
| ~ m1_relset_1(sK6(sK2),sK2,sK2)
| ~ v1_funct_2(sK6(sK2),sK2,sK2)
| ~ v1_funct_1(sK6(sK2))
| ~ m1_relset_1(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_2(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_1(sK11(X0,sK2))
| v1_xboole_0(sK2) )
| spl26_5
| ~ spl26_6 ),
inference(superposition,[],[f341,f6147]) ).
fof(f6147,plain,
( ! [X0] : k7_funct_2(X0,sK2,sK2,sK11(X0,sK2),sK6(sK2)) = k5_relat_1(sK11(X0,sK2),sK6(sK2))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f2349,f1043]) ).
fof(f2349,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| k7_funct_2(X0,X1,X1,sK11(X0,X1),sK6(X1)) = k5_relat_1(sK11(X0,X1),sK6(X1)) ),
inference(subsumption_resolution,[],[f2348,f313]) ).
fof(f2348,plain,
! [X0,X1] :
( k7_funct_2(X0,X1,X1,sK11(X0,X1),sK6(X1)) = k5_relat_1(sK11(X0,X1),sK6(X1))
| ~ v1_funct_1(sK11(X0,X1))
| v1_xboole_0(X1) ),
inference(subsumption_resolution,[],[f2333,f311]) ).
fof(f2333,plain,
! [X0,X1] :
( ~ m1_relset_1(sK11(X0,X1),X0,X1)
| k7_funct_2(X0,X1,X1,sK11(X0,X1),sK6(X1)) = k5_relat_1(sK11(X0,X1),sK6(X1))
| ~ v1_funct_1(sK11(X0,X1))
| v1_xboole_0(X1) ),
inference(resolution,[],[f1586,f314]) ).
fof(f1586,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,X1,X0)
| ~ m1_relset_1(X2,X1,X0)
| k7_funct_2(X1,X0,X0,X2,sK6(X0)) = k5_relat_1(X2,sK6(X0))
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f1585,f270]) ).
fof(f1585,plain,
! [X2,X0,X1] :
( k7_funct_2(X1,X0,X0,X2,sK6(X0)) = k5_relat_1(X2,sK6(X0))
| ~ v1_funct_1(sK6(X0))
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f1573,f268]) ).
fof(f1573,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(sK6(X0),X0,X0)
| k7_funct_2(X1,X0,X0,X2,sK6(X0)) = k5_relat_1(X2,sK6(X0))
| ~ v1_funct_1(sK6(X0))
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(resolution,[],[f340,f272]) ).
fof(f6259,plain,
( u1_struct_0(sK1) = sK2
| sK1 != g1_group_1(sK2,k5_relat_1(sK11(k2_zfmisc_1(sK2,sK2),sK2),sK6(sK2)))
| ~ v1_funct_1(k5_relat_1(sK11(k2_zfmisc_1(sK2,sK2),sK2),sK6(sK2)))
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6233,f5120]) ).
fof(f5120,plain,
! [X2,X0,X1] : m1_relset_1(k5_relat_1(sK11(X0,X1),sK6(X2)),X0,X2),
inference(subsumption_resolution,[],[f5119,f268]) ).
fof(f5119,plain,
! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(sK11(X0,X1),sK6(X2)),X0,X2)
| ~ m1_relset_1(sK6(X2),X2,X2) ),
inference(subsumption_resolution,[],[f5115,f311]) ).
fof(f5115,plain,
! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(sK11(X0,X1),sK6(X2)),X0,X2)
| ~ m1_relset_1(sK11(X0,X1),X0,X1)
| ~ m1_relset_1(sK6(X2),X2,X2) ),
inference(superposition,[],[f1121,f1978]) ).
fof(f1978,plain,
! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK11(X0,X1),sK6(X2)) = k5_relat_1(sK11(X0,X1),sK6(X2)),
inference(resolution,[],[f1166,f311]) ).
fof(f1166,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X3,X0,X1)
| k7_relset_1(X0,X1,X2,X2,X3,sK6(X2)) = k5_relat_1(X3,sK6(X2)) ),
inference(resolution,[],[f345,f268]) ).
fof(f1121,plain,
! [X2,X3,X0,X1,X4,X5] :
( m1_relset_1(k7_relset_1(X4,X5,X1,X2,X3,X0),X4,X2)
| ~ m1_relset_1(X3,X4,X5)
| ~ m1_relset_1(X0,X1,X2) ),
inference(resolution,[],[f344,f337]) ).
fof(f6233,plain,
( u1_struct_0(sK1) = sK2
| ~ m1_relset_1(k5_relat_1(sK11(k2_zfmisc_1(sK2,sK2),sK2),sK6(sK2)),k2_zfmisc_1(sK2,sK2),sK2)
| sK1 != g1_group_1(sK2,k5_relat_1(sK11(k2_zfmisc_1(sK2,sK2),sK2),sK6(sK2)))
| ~ v1_funct_1(k5_relat_1(sK11(k2_zfmisc_1(sK2,sK2),sK2),sK6(sK2)))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f6190,f1382]) ).
fof(f1382,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| g1_group_1(X0,X1) != sK1
| ~ v1_funct_1(X1) ),
inference(superposition,[],[f300,f513]) ).
fof(f6190,plain,
( ! [X0] : v1_funct_2(k5_relat_1(sK11(X0,sK2),sK6(sK2)),X0,sK2)
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6189,f1043]) ).
fof(f6189,plain,
( ! [X0] :
( v1_funct_2(k5_relat_1(sK11(X0,sK2),sK6(sK2)),X0,sK2)
| v1_xboole_0(sK2) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6188,f313]) ).
fof(f6188,plain,
( ! [X0] :
( v1_funct_2(k5_relat_1(sK11(X0,sK2),sK6(sK2)),X0,sK2)
| ~ v1_funct_1(sK11(X0,sK2))
| v1_xboole_0(sK2) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6187,f314]) ).
fof(f6187,plain,
( ! [X0] :
( v1_funct_2(k5_relat_1(sK11(X0,sK2),sK6(sK2)),X0,sK2)
| ~ v1_funct_2(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_1(sK11(X0,sK2))
| v1_xboole_0(sK2) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6186,f311]) ).
fof(f6186,plain,
( ! [X0] :
( v1_funct_2(k5_relat_1(sK11(X0,sK2),sK6(sK2)),X0,sK2)
| ~ m1_relset_1(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_2(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_1(sK11(X0,sK2))
| v1_xboole_0(sK2) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6185,f270]) ).
fof(f6185,plain,
( ! [X0] :
( v1_funct_2(k5_relat_1(sK11(X0,sK2),sK6(sK2)),X0,sK2)
| ~ v1_funct_1(sK6(sK2))
| ~ m1_relset_1(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_2(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_1(sK11(X0,sK2))
| v1_xboole_0(sK2) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6184,f272]) ).
fof(f6184,plain,
( ! [X0] :
( v1_funct_2(k5_relat_1(sK11(X0,sK2),sK6(sK2)),X0,sK2)
| ~ v1_funct_2(sK6(sK2),sK2,sK2)
| ~ v1_funct_1(sK6(sK2))
| ~ m1_relset_1(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_2(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_1(sK11(X0,sK2))
| v1_xboole_0(sK2) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f6170,f268]) ).
fof(f6170,plain,
( ! [X0] :
( v1_funct_2(k5_relat_1(sK11(X0,sK2),sK6(sK2)),X0,sK2)
| ~ m1_relset_1(sK6(sK2),sK2,sK2)
| ~ v1_funct_2(sK6(sK2),sK2,sK2)
| ~ v1_funct_1(sK6(sK2))
| ~ m1_relset_1(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_2(sK11(X0,sK2),X0,sK2)
| ~ v1_funct_1(sK11(X0,sK2))
| v1_xboole_0(sK2) )
| spl26_5
| ~ spl26_6 ),
inference(superposition,[],[f342,f6147]) ).
fof(f3343,plain,
( ~ spl26_55
| spl26_56
| spl26_5
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f3323,f641,f637,f3340,f3336]) ).
fof(f3336,plain,
( spl26_55
<=> v1_xboole_0(sK4(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(k4_autgroup(sK1))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_55])]) ).
fof(f3340,plain,
( spl26_56
<=> v1_xboole_0(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(k4_autgroup(sK1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_56])]) ).
fof(f3323,plain,
( v1_xboole_0(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(k4_autgroup(sK1))))))
| ~ v1_xboole_0(sK4(sK4(k1_zfmisc_1(sK4(k1_zfmisc_1(k4_autgroup(sK1)))))))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f568,f1481]) ).
fof(f1481,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK1))
| ~ v1_xboole_0(X0) )
| spl26_5
| ~ spl26_6 ),
inference(duplicate_literal_removal,[],[f1476]) ).
fof(f1476,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK1))
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,k4_autgroup(sK1)) )
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f1462,f1239]) ).
fof(f1239,plain,
( ! [X0] :
( ~ m1_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,k4_autgroup(sK1)) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f1238,f638]) ).
fof(f1238,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK1))
| ~ v1_xboole_0(X0)
| ~ m1_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) )
| spl26_5
| ~ spl26_6 ),
inference(duplicate_literal_removal,[],[f1237]) ).
fof(f1237,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK1))
| ~ v1_xboole_0(X0)
| ~ m1_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1)) )
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f1236,f915]) ).
fof(f1236,plain,
( ! [X0] :
( v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(X0,k4_autgroup(sK1)) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f1234,f638]) ).
fof(f1234,plain,
( ! [X0] :
( v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_subset_1(X0,k4_autgroup(sK1)) )
| ~ spl26_6 ),
inference(resolution,[],[f846,f642]) ).
fof(f1462,plain,
( ! [X0] :
( m1_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(X0,k4_autgroup(sK1)) )
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f1456,f337]) ).
fof(f1456,plain,
( ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(X0,k4_autgroup(sK1)) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f1454,f638]) ).
fof(f1454,plain,
( ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_subset_1(X0,k4_autgroup(sK1)) )
| ~ spl26_6 ),
inference(resolution,[],[f877,f642]) ).
fof(f3299,plain,
( spl26_53
| spl26_54
| ~ spl26_50 ),
inference(avatar_split_clause,[],[f3274,f3243,f3296,f3292]) ).
fof(f3292,plain,
( spl26_53
<=> r2_hidden(k6_partfun1(u1_struct_0(sK20)),k4_autgroup(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_53])]) ).
fof(f3296,plain,
( spl26_54
<=> v1_xboole_0(k4_autgroup(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_54])]) ).
fof(f3243,plain,
( spl26_50
<=> m1_subset_1(k6_partfun1(u1_struct_0(sK20)),k4_autgroup(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_50])]) ).
fof(f3274,plain,
( v1_xboole_0(k4_autgroup(sK20))
| r2_hidden(k6_partfun1(u1_struct_0(sK20)),k4_autgroup(sK20))
| ~ spl26_50 ),
inference(resolution,[],[f3245,f281]) ).
fof(f3245,plain,
( m1_subset_1(k6_partfun1(u1_struct_0(sK20)),k4_autgroup(sK20))
| ~ spl26_50 ),
inference(avatar_component_clause,[],[f3243]) ).
fof(f3289,plain,
( ~ spl26_51
| spl26_52
| ~ spl26_49 ),
inference(avatar_split_clause,[],[f3271,f3239,f3286,f3282]) ).
fof(f3282,plain,
( spl26_51
<=> v1_fraenkel(u1_struct_0(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_51])]) ).
fof(f3286,plain,
( spl26_52
<=> v1_funct_1(k2_group_1(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_52])]) ).
fof(f3239,plain,
( spl26_49
<=> m1_subset_1(k2_group_1(sK20),u1_struct_0(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_49])]) ).
fof(f3271,plain,
( v1_funct_1(k2_group_1(sK20))
| ~ v1_fraenkel(u1_struct_0(sK20))
| ~ spl26_49 ),
inference(resolution,[],[f3240,f241]) ).
fof(f3240,plain,
( m1_subset_1(k2_group_1(sK20),u1_struct_0(sK20))
| ~ spl26_49 ),
inference(avatar_component_clause,[],[f3239]) ).
fof(f3269,plain,
~ spl26_48,
inference(avatar_contradiction_clause,[],[f3268]) ).
fof(f3268,plain,
( $false
| ~ spl26_48 ),
inference(subsumption_resolution,[],[f3267,f357]) ).
fof(f3267,plain,
( ~ l1_group_1(sK20)
| ~ spl26_48 ),
inference(resolution,[],[f3266,f242]) ).
fof(f3266,plain,
( ~ l1_struct_0(sK20)
| ~ spl26_48 ),
inference(subsumption_resolution,[],[f3254,f358]) ).
fof(f3254,plain,
( ~ l1_struct_0(sK20)
| v3_struct_0(sK20)
| ~ spl26_48 ),
inference(resolution,[],[f3237,f250]) ).
fof(f3237,plain,
( v1_xboole_0(u1_struct_0(sK20))
| ~ spl26_48 ),
inference(avatar_component_clause,[],[f3235]) ).
fof(f3235,plain,
( spl26_48
<=> v1_xboole_0(u1_struct_0(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_48])]) ).
fof(f3252,plain,
spl26_49,
inference(avatar_contradiction_clause,[],[f3251]) ).
fof(f3251,plain,
( $false
| spl26_49 ),
inference(subsumption_resolution,[],[f3250,f358]) ).
fof(f3250,plain,
( v3_struct_0(sK20)
| spl26_49 ),
inference(subsumption_resolution,[],[f3247,f357]) ).
fof(f3247,plain,
( ~ l1_group_1(sK20)
| v3_struct_0(sK20)
| spl26_49 ),
inference(resolution,[],[f3241,f255]) ).
fof(f3241,plain,
( ~ m1_subset_1(k2_group_1(sK20),u1_struct_0(sK20))
| spl26_49 ),
inference(avatar_component_clause,[],[f3239]) ).
fof(f3246,plain,
( spl26_48
| ~ spl26_49
| spl26_50 ),
inference(avatar_split_clause,[],[f2302,f3243,f3239,f3235]) ).
fof(f2302,plain,
( m1_subset_1(k6_partfun1(u1_struct_0(sK20)),k4_autgroup(sK20))
| ~ m1_subset_1(k2_group_1(sK20),u1_struct_0(sK20))
| v1_xboole_0(u1_struct_0(sK20)) ),
inference(subsumption_resolution,[],[f2301,f358]) ).
fof(f2301,plain,
( m1_subset_1(k6_partfun1(u1_struct_0(sK20)),k4_autgroup(sK20))
| v3_struct_0(sK20)
| ~ m1_subset_1(k2_group_1(sK20),u1_struct_0(sK20))
| v1_xboole_0(u1_struct_0(sK20)) ),
inference(subsumption_resolution,[],[f2300,f359]) ).
fof(f2300,plain,
( m1_subset_1(k6_partfun1(u1_struct_0(sK20)),k4_autgroup(sK20))
| ~ v1_group_1(sK20)
| v3_struct_0(sK20)
| ~ m1_subset_1(k2_group_1(sK20),u1_struct_0(sK20))
| v1_xboole_0(u1_struct_0(sK20)) ),
inference(subsumption_resolution,[],[f2299,f360]) ).
fof(f2299,plain,
( m1_subset_1(k6_partfun1(u1_struct_0(sK20)),k4_autgroup(sK20))
| ~ v3_group_1(sK20)
| ~ v1_group_1(sK20)
| v3_struct_0(sK20)
| ~ m1_subset_1(k2_group_1(sK20),u1_struct_0(sK20))
| v1_xboole_0(u1_struct_0(sK20)) ),
inference(subsumption_resolution,[],[f2298,f361]) ).
fof(f2298,plain,
( m1_subset_1(k6_partfun1(u1_struct_0(sK20)),k4_autgroup(sK20))
| ~ v4_group_1(sK20)
| ~ v3_group_1(sK20)
| ~ v1_group_1(sK20)
| v3_struct_0(sK20)
| ~ m1_subset_1(k2_group_1(sK20),u1_struct_0(sK20))
| v1_xboole_0(u1_struct_0(sK20)) ),
inference(subsumption_resolution,[],[f2277,f357]) ).
fof(f2277,plain,
( m1_subset_1(k6_partfun1(u1_struct_0(sK20)),k4_autgroup(sK20))
| ~ l1_group_1(sK20)
| ~ v4_group_1(sK20)
| ~ v3_group_1(sK20)
| ~ v1_group_1(sK20)
| v3_struct_0(sK20)
| ~ m1_subset_1(k2_group_1(sK20),u1_struct_0(sK20))
| v1_xboole_0(u1_struct_0(sK20)) ),
inference(superposition,[],[f1328,f1008]) ).
fof(f1008,plain,
k6_autgroup(sK20,k2_group_1(sK20)) = k6_partfun1(u1_struct_0(sK20)),
inference(subsumption_resolution,[],[f1007,f358]) ).
fof(f1007,plain,
( k6_autgroup(sK20,k2_group_1(sK20)) = k6_partfun1(u1_struct_0(sK20))
| v3_struct_0(sK20) ),
inference(subsumption_resolution,[],[f1006,f359]) ).
fof(f1006,plain,
( k6_autgroup(sK20,k2_group_1(sK20)) = k6_partfun1(u1_struct_0(sK20))
| ~ v1_group_1(sK20)
| v3_struct_0(sK20) ),
inference(subsumption_resolution,[],[f1005,f360]) ).
fof(f1005,plain,
( k6_autgroup(sK20,k2_group_1(sK20)) = k6_partfun1(u1_struct_0(sK20))
| ~ v3_group_1(sK20)
| ~ v1_group_1(sK20)
| v3_struct_0(sK20) ),
inference(subsumption_resolution,[],[f997,f361]) ).
fof(f997,plain,
( k6_autgroup(sK20,k2_group_1(sK20)) = k6_partfun1(u1_struct_0(sK20))
| ~ v4_group_1(sK20)
| ~ v3_group_1(sK20)
| ~ v1_group_1(sK20)
| v3_struct_0(sK20) ),
inference(resolution,[],[f254,f357]) ).
fof(f1328,plain,
! [X0,X1] :
( m1_subset_1(k6_autgroup(X1,X0),k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) ),
inference(subsumption_resolution,[],[f1322,f253]) ).
fof(f1322,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(k6_autgroup(X1,X0),k4_autgroup(X1))
| ~ m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1)) ),
inference(resolution,[],[f288,f333]) ).
fof(f1849,plain,
( ~ spl26_45
| ~ spl26_46
| spl26_47
| spl26_19 ),
inference(avatar_split_clause,[],[f1805,f1204,f1846,f1842,f1838]) ).
fof(f1838,plain,
( spl26_45
<=> v3_group_1(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_45])]) ).
fof(f1842,plain,
( spl26_46
<=> v4_group_1(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_46])]) ).
fof(f1846,plain,
( spl26_47
<=> k6_autgroup(sK21,k2_group_1(sK21)) = k6_partfun1(u1_struct_0(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_47])]) ).
fof(f1204,plain,
( spl26_19
<=> v3_struct_0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).
fof(f1805,plain,
( k6_autgroup(sK21,k2_group_1(sK21)) = k6_partfun1(u1_struct_0(sK21))
| ~ v4_group_1(sK21)
| ~ v3_group_1(sK21)
| spl26_19 ),
inference(subsumption_resolution,[],[f1009,f1206]) ).
fof(f1206,plain,
( ~ v3_struct_0(sK21)
| spl26_19 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1009,plain,
( k6_autgroup(sK21,k2_group_1(sK21)) = k6_partfun1(u1_struct_0(sK21))
| ~ v4_group_1(sK21)
| ~ v3_group_1(sK21)
| v3_struct_0(sK21) ),
inference(subsumption_resolution,[],[f998,f363]) ).
fof(f998,plain,
( k6_autgroup(sK21,k2_group_1(sK21)) = k6_partfun1(u1_struct_0(sK21))
| ~ v4_group_1(sK21)
| ~ v3_group_1(sK21)
| ~ v1_group_1(sK21)
| v3_struct_0(sK21) ),
inference(resolution,[],[f254,f362]) ).
fof(f1433,plain,
( spl26_29
| spl26_5
| ~ spl26_6
| ~ spl26_42 ),
inference(avatar_split_clause,[],[f1423,f1374,f641,f637,f1271]) ).
fof(f1271,plain,
( spl26_29
<=> m1_subset_1(k6_partfun1(u1_struct_0(sK1)),k4_autgroup(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_29])]) ).
fof(f1423,plain,
( m1_subset_1(k6_partfun1(u1_struct_0(sK1)),k4_autgroup(sK1))
| spl26_5
| ~ spl26_6
| ~ spl26_42 ),
inference(subsumption_resolution,[],[f1422,f638]) ).
fof(f1422,plain,
( m1_subset_1(k6_partfun1(u1_struct_0(sK1)),k4_autgroup(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ spl26_6
| ~ spl26_42 ),
inference(subsumption_resolution,[],[f1414,f642]) ).
fof(f1414,plain,
( m1_subset_1(k6_partfun1(u1_struct_0(sK1)),k4_autgroup(sK1))
| ~ m1_fraenkel(k4_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ spl26_42 ),
inference(resolution,[],[f1376,f333]) ).
fof(f1421,plain,
( spl26_5
| ~ spl26_6
| spl26_29
| ~ spl26_42 ),
inference(avatar_contradiction_clause,[],[f1420]) ).
fof(f1420,plain,
( $false
| spl26_5
| ~ spl26_6
| spl26_29
| ~ spl26_42 ),
inference(subsumption_resolution,[],[f1419,f638]) ).
fof(f1419,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl26_6
| spl26_29
| ~ spl26_42 ),
inference(subsumption_resolution,[],[f1418,f642]) ).
fof(f1418,plain,
( ~ m1_fraenkel(k4_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| spl26_29
| ~ spl26_42 ),
inference(subsumption_resolution,[],[f1414,f1273]) ).
fof(f1273,plain,
( ~ m1_subset_1(k6_partfun1(u1_struct_0(sK1)),k4_autgroup(sK1))
| spl26_29 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1410,plain,
( ~ spl26_43
| spl26_44
| ~ spl26_41 ),
inference(avatar_split_clause,[],[f1395,f1370,f1407,f1403]) ).
fof(f1403,plain,
( spl26_43
<=> v1_fraenkel(u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_43])]) ).
fof(f1407,plain,
( spl26_44
<=> v1_funct_1(k2_group_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_44])]) ).
fof(f1370,plain,
( spl26_41
<=> m1_subset_1(k2_group_1(sK1),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_41])]) ).
fof(f1395,plain,
( v1_funct_1(k2_group_1(sK1))
| ~ v1_fraenkel(u1_struct_0(sK1))
| ~ spl26_41 ),
inference(resolution,[],[f1371,f241]) ).
fof(f1371,plain,
( m1_subset_1(k2_group_1(sK1),u1_struct_0(sK1))
| ~ spl26_41 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1392,plain,
spl26_41,
inference(avatar_contradiction_clause,[],[f1391]) ).
fof(f1391,plain,
( $false
| spl26_41 ),
inference(subsumption_resolution,[],[f1390,f221]) ).
fof(f1390,plain,
( v3_struct_0(sK1)
| spl26_41 ),
inference(subsumption_resolution,[],[f1387,f225]) ).
fof(f1387,plain,
( ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| spl26_41 ),
inference(resolution,[],[f1372,f255]) ).
fof(f1372,plain,
( ~ m1_subset_1(k2_group_1(sK1),u1_struct_0(sK1))
| spl26_41 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1377,plain,
( ~ spl26_41
| spl26_42 ),
inference(avatar_split_clause,[],[f1334,f1374,f1370]) ).
fof(f1334,plain,
( m2_fraenkel(k6_partfun1(u1_struct_0(sK1)),u1_struct_0(sK1),u1_struct_0(sK1),k4_autgroup(sK1))
| ~ m1_subset_1(k2_group_1(sK1),u1_struct_0(sK1)) ),
inference(subsumption_resolution,[],[f1333,f221]) ).
fof(f1333,plain,
( m2_fraenkel(k6_partfun1(u1_struct_0(sK1)),u1_struct_0(sK1),u1_struct_0(sK1),k4_autgroup(sK1))
| ~ m1_subset_1(k2_group_1(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1332,f222]) ).
fof(f1332,plain,
( m2_fraenkel(k6_partfun1(u1_struct_0(sK1)),u1_struct_0(sK1),u1_struct_0(sK1),k4_autgroup(sK1))
| ~ m1_subset_1(k2_group_1(sK1),u1_struct_0(sK1))
| ~ v1_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1331,f223]) ).
fof(f1331,plain,
( m2_fraenkel(k6_partfun1(u1_struct_0(sK1)),u1_struct_0(sK1),u1_struct_0(sK1),k4_autgroup(sK1))
| ~ m1_subset_1(k2_group_1(sK1),u1_struct_0(sK1))
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1330,f224]) ).
fof(f1330,plain,
( m2_fraenkel(k6_partfun1(u1_struct_0(sK1)),u1_struct_0(sK1),u1_struct_0(sK1),k4_autgroup(sK1))
| ~ m1_subset_1(k2_group_1(sK1),u1_struct_0(sK1))
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1324,f225]) ).
fof(f1324,plain,
( m2_fraenkel(k6_partfun1(u1_struct_0(sK1)),u1_struct_0(sK1),u1_struct_0(sK1),k4_autgroup(sK1))
| ~ m1_subset_1(k2_group_1(sK1),u1_struct_0(sK1))
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v3_struct_0(sK1) ),
inference(superposition,[],[f288,f1002]) ).
fof(f1002,plain,
k6_autgroup(sK1,k2_group_1(sK1)) = k6_partfun1(u1_struct_0(sK1)),
inference(subsumption_resolution,[],[f1001,f221]) ).
fof(f1001,plain,
( k6_autgroup(sK1,k2_group_1(sK1)) = k6_partfun1(u1_struct_0(sK1))
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f1000,f222]) ).
fof(f1000,plain,
( k6_autgroup(sK1,k2_group_1(sK1)) = k6_partfun1(u1_struct_0(sK1))
| ~ v1_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f999,f223]) ).
fof(f999,plain,
( k6_autgroup(sK1,k2_group_1(sK1)) = k6_partfun1(u1_struct_0(sK1))
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f994,f224]) ).
fof(f994,plain,
( k6_autgroup(sK1,k2_group_1(sK1)) = k6_partfun1(u1_struct_0(sK1))
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f254,f225]) ).
fof(f1350,plain,
( ~ spl26_39
| ~ spl26_40
| spl26_5
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f1247,f641,f637,f1347,f1343]) ).
fof(f1343,plain,
( spl26_39
<=> m1_subset_1(sK11(u1_struct_0(sK1),u1_struct_0(sK1)),k4_autgroup(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_39])]) ).
fof(f1347,plain,
( spl26_40
<=> v1_xboole_0(sK11(u1_struct_0(sK1),u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_40])]) ).
fof(f1247,plain,
( ~ v1_xboole_0(sK11(u1_struct_0(sK1),u1_struct_0(sK1)))
| ~ m1_subset_1(sK11(u1_struct_0(sK1),u1_struct_0(sK1)),k4_autgroup(sK1))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f1239,f311]) ).
fof(f1319,plain,
( ~ spl26_37
| ~ spl26_38
| spl26_5
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f1246,f641,f637,f1316,f1312]) ).
fof(f1312,plain,
( spl26_37
<=> m1_subset_1(sK10(u1_struct_0(sK1),u1_struct_0(sK1)),k4_autgroup(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_37])]) ).
fof(f1316,plain,
( spl26_38
<=> v1_xboole_0(sK10(u1_struct_0(sK1),u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_38])]) ).
fof(f1246,plain,
( ~ v1_xboole_0(sK10(u1_struct_0(sK1),u1_struct_0(sK1)))
| ~ m1_subset_1(sK10(u1_struct_0(sK1),u1_struct_0(sK1)),k4_autgroup(sK1))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f1239,f308]) ).
fof(f1308,plain,
( ~ spl26_35
| ~ spl26_36
| spl26_5
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f1245,f641,f637,f1305,f1301]) ).
fof(f1301,plain,
( spl26_35
<=> m1_subset_1(sK9(u1_struct_0(sK1),u1_struct_0(sK1)),k4_autgroup(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_35])]) ).
fof(f1305,plain,
( spl26_36
<=> v1_xboole_0(sK9(u1_struct_0(sK1),u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_36])]) ).
fof(f1245,plain,
( ~ v1_xboole_0(sK9(u1_struct_0(sK1),u1_struct_0(sK1)))
| ~ m1_subset_1(sK9(u1_struct_0(sK1),u1_struct_0(sK1)),k4_autgroup(sK1))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f1239,f415]) ).
fof(f1297,plain,
( ~ spl26_33
| ~ spl26_34
| spl26_5
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f1244,f641,f637,f1294,f1290]) ).
fof(f1290,plain,
( spl26_33
<=> m1_subset_1(sK8(u1_struct_0(sK1),u1_struct_0(sK1)),k4_autgroup(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_33])]) ).
fof(f1294,plain,
( spl26_34
<=> v1_xboole_0(sK8(u1_struct_0(sK1),u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_34])]) ).
fof(f1244,plain,
( ~ v1_xboole_0(sK8(u1_struct_0(sK1),u1_struct_0(sK1)))
| ~ m1_subset_1(sK8(u1_struct_0(sK1),u1_struct_0(sK1)),k4_autgroup(sK1))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f1239,f306]) ).
fof(f1288,plain,
( ~ spl26_31
| ~ spl26_32 ),
inference(avatar_split_clause,[],[f1258,f1285,f1281]) ).
fof(f1258,plain,
( sK2 != k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),k6_partfun1(u1_struct_0(sK1)),sK2)
| sK2 != k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK2,k6_partfun1(u1_struct_0(sK1))) ),
inference(forward_demodulation,[],[f1257,f1002]) ).
fof(f1257,plain,
( sK2 != k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK2,k6_partfun1(u1_struct_0(sK1)))
| sK2 != k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),k6_autgroup(sK1,k2_group_1(sK1)),sK2) ),
inference(forward_demodulation,[],[f227,f1002]) ).
fof(f1278,plain,
( ~ spl26_29
| ~ spl26_30
| spl26_5
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f1243,f641,f637,f1275,f1271]) ).
fof(f1275,plain,
( spl26_30
<=> v1_xboole_0(k6_partfun1(u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_30])]) ).
fof(f1243,plain,
( ~ v1_xboole_0(k6_partfun1(u1_struct_0(sK1)))
| ~ m1_subset_1(k6_partfun1(u1_struct_0(sK1)),k4_autgroup(sK1))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f1239,f414]) ).
fof(f1268,plain,
( ~ spl26_27
| ~ spl26_28
| spl26_5
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f1242,f641,f637,f1265,f1261]) ).
fof(f1261,plain,
( spl26_27
<=> m1_subset_1(sK6(u1_struct_0(sK1)),k4_autgroup(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_27])]) ).
fof(f1265,plain,
( spl26_28
<=> v1_xboole_0(sK6(u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_28])]) ).
fof(f1242,plain,
( ~ v1_xboole_0(sK6(u1_struct_0(sK1)))
| ~ m1_subset_1(sK6(u1_struct_0(sK1)),k4_autgroup(sK1))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f1239,f268]) ).
fof(f1256,plain,
( ~ spl26_25
| ~ spl26_26
| spl26_5
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f1241,f641,f637,f1253,f1249]) ).
fof(f1249,plain,
( spl26_25
<=> m1_subset_1(sK5(u1_struct_0(sK1)),k4_autgroup(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_25])]) ).
fof(f1253,plain,
( spl26_26
<=> v1_xboole_0(sK5(u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_26])]) ).
fof(f1241,plain,
( ~ v1_xboole_0(sK5(u1_struct_0(sK1)))
| ~ m1_subset_1(sK5(u1_struct_0(sK1)),k4_autgroup(sK1))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f1239,f262]) ).
fof(f1231,plain,
( ~ spl26_22
| ~ spl26_23
| spl26_24 ),
inference(avatar_split_clause,[],[f1004,f1228,f1224,f1220]) ).
fof(f1220,plain,
( spl26_22
<=> v3_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_22])]) ).
fof(f1224,plain,
( spl26_23
<=> v4_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_23])]) ).
fof(f1228,plain,
( spl26_24
<=> k6_autgroup(sK19,k2_group_1(sK19)) = k6_partfun1(u1_struct_0(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_24])]) ).
fof(f1004,plain,
( k6_autgroup(sK19,k2_group_1(sK19)) = k6_partfun1(u1_struct_0(sK19))
| ~ v4_group_1(sK19)
| ~ v3_group_1(sK19) ),
inference(subsumption_resolution,[],[f1003,f355]) ).
fof(f1003,plain,
( k6_autgroup(sK19,k2_group_1(sK19)) = k6_partfun1(u1_struct_0(sK19))
| ~ v4_group_1(sK19)
| ~ v3_group_1(sK19)
| v3_struct_0(sK19) ),
inference(subsumption_resolution,[],[f996,f356]) ).
fof(f996,plain,
( k6_autgroup(sK19,k2_group_1(sK19)) = k6_partfun1(u1_struct_0(sK19))
| ~ v4_group_1(sK19)
| ~ v3_group_1(sK19)
| ~ v1_group_1(sK19)
| v3_struct_0(sK19) ),
inference(resolution,[],[f254,f354]) ).
fof(f1218,plain,
( spl26_20
| ~ spl26_21
| spl26_5
| ~ spl26_6
| spl26_11 ),
inference(avatar_split_clause,[],[f1193,f1048,f641,f637,f1215,f1211]) ).
fof(f1211,plain,
( spl26_20
<=> v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).
fof(f1215,plain,
( spl26_21
<=> r2_hidden(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).
fof(f1048,plain,
( spl26_11
<=> v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).
fof(f1193,plain,
( ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1))),sK2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1))))
| spl26_5
| ~ spl26_6
| spl26_11 ),
inference(resolution,[],[f1063,f275]) ).
fof(f1063,plain,
( ! [X0] :
( ~ r1_tarski(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK2)
| v1_xboole_0(k1_zfmisc_1(X0)) )
| spl26_5
| ~ spl26_6
| spl26_11 ),
inference(resolution,[],[f1055,f547]) ).
fof(f1055,plain,
( ! [X0] :
( r2_hidden(X0,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)))
| ~ r2_hidden(X0,sK2) )
| spl26_5
| ~ spl26_6
| spl26_11 ),
inference(subsumption_resolution,[],[f1052,f1050]) ).
fof(f1050,plain,
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)))
| spl26_11 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1052,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)))
| r2_hidden(X0,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1))) )
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f986,f281]) ).
fof(f986,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)))
| ~ r2_hidden(X0,sK2) )
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f970,f504]) ).
fof(f1207,plain,
( spl26_18
| ~ spl26_19 ),
inference(avatar_split_clause,[],[f1198,f1204,f1200]) ).
fof(f1200,plain,
( spl26_18
<=> v1_xboole_0(u1_struct_0(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).
fof(f1198,plain,
( ~ v3_struct_0(sK21)
| v1_xboole_0(u1_struct_0(sK21)) ),
inference(subsumption_resolution,[],[f1197,f362]) ).
fof(f1197,plain,
( ~ v3_struct_0(sK21)
| v1_xboole_0(u1_struct_0(sK21))
| ~ l1_group_1(sK21) ),
inference(superposition,[],[f1189,f516]) ).
fof(f1189,plain,
! [X0] :
( ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(subsumption_resolution,[],[f1188,f243]) ).
fof(f1188,plain,
! [X0] :
( ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(subsumption_resolution,[],[f1182,f582]) ).
fof(f1182,plain,
! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(resolution,[],[f293,f244]) ).
fof(f1181,plain,
( ~ spl26_16
| spl26_17
| spl26_5
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f1053,f641,f637,f1179,f1175]) ).
fof(f1175,plain,
( spl26_16
<=> v1_fraenkel(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).
fof(f1179,plain,
( spl26_17
<=> ! [X0] :
( ~ r2_hidden(X0,sK2)
| v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).
fof(f1053,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| v1_funct_1(X0)
| ~ v1_fraenkel(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1))) )
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f986,f241]) ).
fof(f1161,plain,
( spl26_14
| spl26_15
| ~ spl26_12 ),
inference(avatar_split_clause,[],[f1141,f1097,f1158,f1154]) ).
fof(f1154,plain,
( spl26_14
<=> v1_xboole_0(k1_zfmisc_1(k4_autgroup(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).
fof(f1158,plain,
( spl26_15
<=> r2_hidden(k1_xboole_0,k1_zfmisc_1(k4_autgroup(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).
fof(f1097,plain,
( spl26_12
<=> v1_xboole_0(sK4(k1_zfmisc_1(k4_autgroup(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).
fof(f1141,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(k4_autgroup(sK1)))
| v1_xboole_0(k1_zfmisc_1(k4_autgroup(sK1)))
| ~ spl26_12 ),
inference(superposition,[],[f408,f1106]) ).
fof(f1106,plain,
( k1_xboole_0 = sK4(k1_zfmisc_1(k4_autgroup(sK1)))
| ~ spl26_12 ),
inference(resolution,[],[f1099,f249]) ).
fof(f1099,plain,
( v1_xboole_0(sK4(k1_zfmisc_1(k4_autgroup(sK1))))
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1104,plain,
( spl26_12
| spl26_13
| spl26_5
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f1022,f641,f637,f1101,f1097]) ).
fof(f1101,plain,
( spl26_13
<=> v1_funct_1(sK4(sK4(k1_zfmisc_1(k4_autgroup(sK1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).
fof(f1022,plain,
( v1_funct_1(sK4(sK4(k1_zfmisc_1(k4_autgroup(sK1)))))
| v1_xboole_0(sK4(k1_zfmisc_1(k4_autgroup(sK1))))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f1016,f517]) ).
fof(f1016,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK1))
| v1_funct_1(X0) )
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f1013,f638]) ).
fof(f1013,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| v1_funct_1(X0) )
| ~ spl26_6 ),
inference(resolution,[],[f642,f790]) ).
fof(f1051,plain,
( spl26_10
| ~ spl26_11
| spl26_5
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f989,f641,f637,f1048,f1045]) ).
fof(f1045,plain,
( spl26_10
<=> ! [X0] : ~ r2_hidden(X0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).
fof(f989,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)))
| ~ r2_hidden(X0,sK2) )
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f970,f465]) ).
fof(f1018,plain,
( ~ spl26_6
| spl26_8 ),
inference(avatar_contradiction_clause,[],[f1017]) ).
fof(f1017,plain,
( $false
| ~ spl26_6
| spl26_8 ),
inference(subsumption_resolution,[],[f1014,f977]) ).
fof(f977,plain,
( ~ v1_fraenkel(k4_autgroup(sK1))
| spl26_8 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f975,plain,
( spl26_8
<=> v1_fraenkel(k4_autgroup(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).
fof(f1014,plain,
( v1_fraenkel(k4_autgroup(sK1))
| ~ spl26_6 ),
inference(resolution,[],[f642,f316]) ).
fof(f993,plain,
( spl26_5
| ~ spl26_6
| spl26_9 ),
inference(avatar_contradiction_clause,[],[f992]) ).
fof(f992,plain,
( $false
| spl26_5
| ~ spl26_6
| spl26_9 ),
inference(subsumption_resolution,[],[f990,f980]) ).
fof(f980,plain,
( ~ v1_relat_1(sK2)
| spl26_9 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f979,plain,
( spl26_9
<=> v1_relat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_9])]) ).
fof(f990,plain,
( v1_relat_1(sK2)
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f970,f464]) ).
fof(f982,plain,
( ~ spl26_8
| spl26_9
| spl26_5
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f973,f641,f637,f979,f975]) ).
fof(f973,plain,
( v1_relat_1(sK2)
| ~ v1_fraenkel(k4_autgroup(sK1))
| spl26_5
| ~ spl26_6 ),
inference(resolution,[],[f968,f240]) ).
fof(f967,plain,
~ spl26_5,
inference(avatar_contradiction_clause,[],[f966]) ).
fof(f966,plain,
( $false
| ~ spl26_5 ),
inference(subsumption_resolution,[],[f965,f225]) ).
fof(f965,plain,
( ~ l1_group_1(sK1)
| ~ spl26_5 ),
inference(resolution,[],[f964,f242]) ).
fof(f964,plain,
( ~ l1_struct_0(sK1)
| ~ spl26_5 ),
inference(subsumption_resolution,[],[f954,f221]) ).
fof(f954,plain,
( ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ spl26_5 ),
inference(resolution,[],[f639,f250]) ).
fof(f639,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f950,plain,
spl26_6,
inference(avatar_contradiction_clause,[],[f949]) ).
fof(f949,plain,
( $false
| spl26_6 ),
inference(subsumption_resolution,[],[f948,f221]) ).
fof(f948,plain,
( v3_struct_0(sK1)
| spl26_6 ),
inference(subsumption_resolution,[],[f947,f222]) ).
fof(f947,plain,
( ~ v1_group_1(sK1)
| v3_struct_0(sK1)
| spl26_6 ),
inference(subsumption_resolution,[],[f946,f223]) ).
fof(f946,plain,
( ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v3_struct_0(sK1)
| spl26_6 ),
inference(subsumption_resolution,[],[f945,f224]) ).
fof(f945,plain,
( ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v3_struct_0(sK1)
| spl26_6 ),
inference(subsumption_resolution,[],[f941,f225]) ).
fof(f941,plain,
( ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v3_struct_0(sK1)
| spl26_6 ),
inference(resolution,[],[f253,f643]) ).
fof(f643,plain,
( ~ m1_fraenkel(k4_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| spl26_6 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f648,plain,
( spl26_5
| ~ spl26_6
| spl26_7 ),
inference(avatar_split_clause,[],[f627,f645,f641,f637]) ).
fof(f539,plain,
( spl26_3
| ~ spl26_4 ),
inference(avatar_split_clause,[],[f509,f536,f532]) ).
fof(f532,plain,
( spl26_3
<=> sK15 = g1_group_1(u1_struct_0(sK15),u1_group_1(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f536,plain,
( spl26_4
<=> v1_group_1(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).
fof(f462,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f444,f459,f455]) ).
fof(f455,plain,
( spl26_1
<=> v1_xboole_0(k1_zfmisc_1(k1_xboole_0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f459,plain,
( spl26_2
<=> r2_hidden(k1_xboole_0,k1_zfmisc_1(k1_xboole_0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP632+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n025.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 20:46:07 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.32 % (22186)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (22189)WARNING: value z3 for option sas not known
% 0.11/0.33 % (22187)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (22188)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (22193)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34 % (22190)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (22192)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34 % (22189)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (22191)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [2]
% 0.16/0.42 TRYING [4]
% 0.16/0.43 TRYING [3]
% 2.52/0.72 TRYING [4]
% 3.00/0.76 % (22189)First to succeed.
% 3.16/0.77 % (22189)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22186"
% 3.16/0.78 % (22189)Refutation found. Thanks to Tanya!
% 3.16/0.78 % SZS status Theorem for theBenchmark
% 3.16/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 3.16/0.78 % (22189)------------------------------
% 3.16/0.78 % (22189)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.16/0.78 % (22189)Termination reason: Refutation
% 3.16/0.78
% 3.16/0.78 % (22189)Memory used [KB]: 4364
% 3.16/0.78 % (22189)Time elapsed: 0.440 s
% 3.16/0.78 % (22189)Instructions burned: 932 (million)
% 3.16/0.78 % (22186)Success in time 0.452 s
%------------------------------------------------------------------------------